Proportion Calculator

Our Proportion calculator allows you to solve proportion problems and find the missing variable value in a given proportion.

Well, stick to the context to understand how to solve proportions (step-by-step) & with a calculator, basic tips & tricks on solving proportions, & more.

What are Proportions?

Proportion is said to be a mathematical comparison between two numbers. More specifically, it two sets of the numbers are increasing/decreasing in the same ratio, then the ratios are referred to directly proportional to each other. Typically, proportions are represented with the symbol “\(::\)” or “\(=\)”.

How to Solve a Proportion Manually (Step-by-Step):

If you want to know the missing variable in the proportion equation, then simply put the equal sign between them. Find the missing value by cross multiplication. Our proportion calculator generates the result with cross-multiplication as well as with the proportion method. Here we have a manual example for clarification.

Example:

The equation is given as \(\frac {8}{x} = \frac {6}{4}\), solve for the unknown \(x\)?

Solution:

By Cross Multiplication:

The equation is;

\(\frac {8}{x} = \frac {6}{4}\)

By cross multiplication,

\(6x = 8 \times 4\)

\(x = 8 \times \frac {4}{6}\)

\(x = \frac {32}{6}\)

\(x = 5.33\)

By Proportion:

The equation is equal if,

8 / 6 = 1.33

So, it is true that,

x / 4 = 1.33

x = 1.33 × 4

x = 5.33

How Proportion Calculator Works:

This proportion solver gives the instant & accurate results of your problem related to proportions, just follow the given instructions:

Inputs:

• Enter the values in the fields and replace the unknown value with any variable x, y or any other.
• Then, hit on calculate button.

Outputs:

The Proportions calculator shows:

• The value of a missing variable
• Step-by –step solution of both methods (cross multiplication & proportion)

References:

From the source of Wikipedia : Understanding of direct & inverse proportion

From the site of mathisfun : Definition of proportion

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