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Table of Content
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.
“Proportion is said to be a mathematical comparison between two ratios (fractions)”
Symbol: “\(::\)” or “\(=\)”
There are two kinds that includes:
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.
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.
If you want to know the proportion with 2 variables from the proportion equation, then
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.