Question

Check whether the following quantities form a proportion or not:
(iii)$1\frac{1}{2},3\frac{1}{4},4\frac{1}{2},9\frac{3}{4}$

Answer 1

Find the ratio of first and last two quantities :
Ratio of first two terms
$1\frac{1}{2}÷3\frac{1}{4}=\frac{3}{2}\times \frac{4}{13}=\frac{6}{13}$

Ratio of last two terms
$4\frac{1}{2}÷9\frac{3}{4}=\frac{9}{2}\times \frac{4}{39}=\frac{6}{13}$

Since the Ratio of $1\frac{1}{2}$ and $3\frac{1}{4}=$ Ratio of $4\frac{1}{2},9\frac{3}{4}$
Hence, the given quantities form a proportion .