Question

Check whether the following quantities form a proportion or not:
6, 12, 8, 16

Answer 1

Given four quantities are
6, 12, 8, 16
Four quantities a, b, c and d are said to be in proportion if,
$\frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{c}}{\mathrm{d}}$

Given,

$\frac{6}{12}=\frac{8}{16}$

So,

$$\begin{gathered} \frac{6}{12}=\frac{1}{2} \\ \mathrm{and} \\ \frac{8}{16}=\frac{1}{2} \end{gathered}$$

Thus the fractions $\frac{6}{12}\mathrm{and}\frac{8}{16}$are equal