Pre – Algebra Online Tutoring: Proportions

Math is an essential skill in our everyday life! Our math tutors realize this and hence guide their students towards a better understanding of the new terminologies and methods. With eTutorWorld expert and experienced Math tutors, math becomes not just easy, but a pleasure to learn and master. Each tutoring session is taught using state-of-the-art technology, a student centric approach, individualized teaching and assessments. Gift your child the eTutorWorld advantage and help her to not only master these valuable skills but also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12.

Learn about Proportions from Certified Online Pre-Algebra Tutor

A proportion is simply two ratios that are equivalent to each other. The missing element in a math problem is usually found by using Proportions.

It can be written in two ways:

Two equal fractions,

a/b = c/d

in colon notation, a: b = c: d

In a proportion,

Product of the means = Product of the extremes.

Extremes

Means are the terms that are close together.

Extremes are the terms that are further apart.

Cross Product Property of Proportions:

When two ratios are equal, then the cross products of the ratios are equal.

That is, for the proportion,

a: b = c: d,
a x d = b x c
Means = Extremes

Let’s understand with an example:

1. Fill in the missing number to complete the proportion.
6/13= 42/x

Write an equivalent fraction with 42 as the numerator

2. Harry read 30 medieval books over the course of 15 weeks .How many books would he have read in 20 weeks? Assume the relationship is directly proportional.

Use cross products to solve the problem

After 20 weeks, Harry would have read 40 medieval books.

Check Point

Fill in the missing number to complete the proportion 3/5 = x/75
Fill in the missing number to complete the proportion 8/9= 120/y
The Yankee candle making company can make 1600 candles in 4 minutes. How many candles can they make in 15 minutes?
A writer can type 250 words in 100 seconds. At that rate, how many seconds would it take him to type 500 words?
At the school summer camp the ratio of number of boys and girls is 7: 3. If there are 27 girls in the summer camp, find the number of boys in the summer camp and the total number of students in the summer camp.

Answer Key

x = 45
y= 135
6000 candles
200 seconds
63 boys ,90 students

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

Schedule a Free Session

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Pricing for Online Tutoring

Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$139
1 session	1 Month	$28
10 sessions	3 months	$269
15 sessions	3 months	$399
20 sessions	4 months	$499
50 sessions	6 months	$1189
100 sessions	12 months	$2249