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Or # Proportion Calculator

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

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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 Types:

There are two kinds that includes:

### Direct Proportion: In this type, increase/decrease in one quantity causes an increase/decrease in the second quantity.

Mathematically:

a ∝ b

or, a/b = k

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

### Inverse Proportion: In this case, if one quantity increases, the other decreases. Similarly if the first quantity decreases, the second one increases.

Mathematically:

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

### Example:

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

#### Solution:

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

## References:

From the source of Wikipedia : Understanding of direct & inverse

From the site of mathisfun : Definition.