Question

In each of the following, check whether or not the given ratios form a proportion:​
(ii)$16:28$ $\text{and}$ $24:42$

Answer 1

Given expression can be written as,
$16:28$ $=\frac{16}{28}=\frac{4\times 4}{7\times 4}=\frac{4}{7}$

$\text{and}$

$24:42$$=\frac{24}{42}=\frac{6\times 4}{6\times 7}=\frac{4}{7}$

$\therefore$ $16:28=24:42$

Hence, they form a proportion.