Question

Compare the following ratios: 3:4::51:68

Answer 1

The given ratios:

3 : 4 : : 51 : 68

We have to compare the ratio is proportional or not.

Solution:

3 : 4 : : 51 : 68

We know that:

a : b : : c : d are proportional.

∴ ad = bc

Here, a = 3, b = 4, c = 51 and d = 68

∴ ad = 3 × 68 = 204

Also,

bc = 4 × 51 = 204

∴ ad = bc, the given ratio are proportional.

Thus, the given ratio are proportional.

Answer 2

Given:

Given ratios are: $3:4::51:68$

To find:

We need to compare the given ratios.

Solution:

Consider the given ratios,

$3 : 4 : : 51 : 68$

Comparing the ratios means we should find they are proportional or not.

We know that, in a ratio,

when $a : b : : c : d$ are proportional, we can write $ad = bc$.

Now, compare above ratio with given ratio, we get

$a = 3, b = 4, c = 51, d = 68$.

Now, find the required values.

$ad = 3 \times 68$

    $= 204$

And,

$bc = 4\times 51$

    $= 204$

Here, Left Hand Side and Right Hand Side are equal.

So, the given ratio is proportional.

Therefore, the given ratio in the question is proportional.