Question

If 12, 21, 72, 126 are in proportion, then

Answer 1

Given:

The numbers $12,21,72$ and $126$ are in proportion.

To be recollected:

• Proportion: Proportion in mathematics, is the relation which shows equality between two ratios.

Example using variables:

• Consider four numbers $a,b,c$ and $d$. The four numbers are said to be in proportion if there exists a relation that states $(a/c)=(b/d)$, i.e., the ratio of $a$ and $c$ is equal to the ratio of $b$ and $d$.
• The proportion can also be expressed as $ad=bc$.....(1)

Step-by-step explanation:

Given that, the numbers $12,21,72$ and $126$ are in proportion.

⇒ The above four numbers can be expressed in the form of the equation (1).

For that, consider $12=a, 21=b,72=c$ and $126=d$.

To check for the proportionality between these four numbers, they show be separately checked for the equal ratios or checked for the relation $ad=bc$.

Now,

$ad=12*126\\ad=1512\\bc=21*72\\bc=1512$

This shows that the four numbers satisfy the relation $ad=bc$.

Answer 2

Answer:

thank you

Step-by-step explanation:

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