Question

Find which of the following are in proportion:

(i) 8, 16, 6, 12
(ii) 6, 2, 4, 3
(iii) 150, 250, 200, 300

Answer 1

(i) Consider $\frac{8}{16}=\frac{1}{2}$

And $\frac{6}{12}=\frac{1}{2}$

$\because$ 8 : 16 = 6 : 12
$\therefore$ 8, 16, 6, 12 are in proportion.


(ii) Consider $\frac{6}{2}=\frac{3}{1}$
And $\frac{4}{3}$
$\because$ 6 : 2 $\ne$ 4 : 3
$\therefore$ 6, 2, 4, 3 are not in proportion.


(iii) Consider $\frac{150}{250}=\frac{3}{5}(\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}50)$

And $\frac{200}{300}=\frac{2}{3}(\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}100)$

$\because$ 150 : 250 $\ne$ 200 : 300
$\therefore$ 150, 250, 200, 300 are not in proportion.