Question

Write true or false against each of the following statement: $5.2:3.9::3:4$

• A. True
• B. False

Answer 1

The correct option is B False

If the two ratios are equal, they are said to be in proportion. For example, if $\mathrm{a}:\mathrm{b}::\mathrm{c}:\mathrm{d}$, then we have $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$where first and the fourth terms are called extreme terms whereas second and third terms are called mean terms.

So, for $5.2:3.9::3:4$ to be in proportion, we will check whether $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$

Here, $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=3.9\times 3=11.7$ and

$\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}=5.2\times 4=20.8$

We observe that, $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}\ne \mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$

Hence, $5.2:3.9::3:4$ is false.