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Proportion Calculator

Proportion Calculator

Note: Enter 3 numbers and unknown variable (x) or any other letter into the given fields.


Check our ratio calculator to learn more about the proportionality!

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Proportion calculator solves two ratios to determine the value of the missing variable x. Compare two fractions with an equivalent sign and get complete solution in one click.

What Are Proportions?

“Proportion is said to be a mathematical comparison between two ratios (fractions)”

Symbol: “\(::\)” or “\(=\)”

proportion calculator

Proportion Types:

There are two kinds that includes:

Direct Proportion:

direct proportion
In this type, increase/decrease in one quantity causes an increase/decrease in the second quantity.


a ∝ b

or, a/b = k

Where, k = A positive integer and “a” and “b” are directly proportional relationship to each other.

Inverse Proportion:

inverse proportion
In this case, if one quantity increases, the other decreases. Similarly if the first quantity decreases, the second one increases.


a ∝ 1/b

Where, the relation between “a” and “b” are inverse to each other.

How To Solve Proportions Manually (Step-by-Step):

If you want to know the proportion with 2 variables from the proportion equation, then

  • Simply put the equal sign between them
  • Find the missing value by cross multiplication


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


By Cross Multiplication:

Try the simple proportions calculator to solve each proportion problems with fractions. As the equation is given as follows:

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

The cross-multiplication method is a common technique for solving proportions. So, by this we get:

\(6x = 8 \times 4\)

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

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

\(x = 5.33\)

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


From the source of Wikipedia : Understanding of direct & inverse

From the site of mathisfun : Definition.

Other Languages: Kalkulator Proporcji, Kalkulator Proporsi, Proportions Rechner, 比例計算, Calculo De Proporção, Calculadora De Proporciones, Calcolo Proporzioni, Калькулятор Пропорций, Mittasuhteet Laskin.