Question

Find the missing values in the ratio table. Then write the equivalent ratios.

Answer 1

A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number,

i.e., $\frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{pa}}{\mathrm{pb}}=\frac{\mathrm{qa}}{\mathrm{qb}};\mathrm{p},\mathrm{q}\ne 0$

From the given table we can see that:

For the second roe and second column:

Since,$12=4\times 3$.

So, multiply $7$ by same number

$\Rightarrow 7\times 3=21$

And for first row and third column:
Since, $7\times 4=28$.

So,multiply $4$ by same number

$\Rightarrow 4\times 4=16$

Hence, the missing values of the ratio table are $21\text{and}16$