Question

*If a, b, c, d are in proportion and a =3, b = 9, c = 5 then find the value of d.*
1️⃣ 11
2️⃣ 15
3️⃣ 8
4️⃣ 17​

Answer 1

Concept:

Proportion is defined as the two ratios are being equal, i.e. the given fractions are equal or the same.

Given:

a = 3, b = 9, and c = 5

Find:

We are asked to find the value of d.

Solution:

We have,

a = 3, b = 9, and c = 5

So,

As mentioned in the definition above and given in the question,

i.e. a, b, c, d are in proportions,

So,

a/b = c/d

Now,

Putting values of a, b, c,

We get,

3/9 = 5/d

On solving we get,

3d = 45

⇒

d = 15

Hence, the value of d is 15, i.e. option 2.

#SPJ3

Answer 2

Answer:

The value of d = 15

Step-by-step explanation:

Given,

a,b,c, d are in proportion

and a = 3 , b = 9,  c = 5

Hence we have 3, 9, 5, and d in proportion.

To find,

The value of 'd'

Solution:

If four numbers a,b,c, and d are in proportion, then the product of means = product of extremes. Here a and d are called the extremes and b and c are called the means

Since 3, 9, 5, and d are in proportion, the means are 9 and 5

Product of means = 9×5 = 45

The extremes are 3 and d

The product of extremes is 3d

Since the product of means = product of extremes, we have

3d = 45

d = 15

∴ The value of d = 15

The correct answer is an option(2) 15

#SPJ2