Question

Determine if the following are in proportion: $4,6,8,12$

Answer 1

We have,

$4,6,8,12$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}4\mathrm{to}6& =& \frac{4}{6}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}2\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}8\mathrm{and}12& =& \frac{8}{12}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}4\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

Since, $4:6=8:12$

Hence, $4,6,8,12$ are in proportion.