Question

find p; q : r if 2p=3q=4r​

Answer 1

Answer:

6:4:3

Step-by-step explanation:

p:q=3:2

q:r=4:3

p:q:r=3*4:4*2:2:3

=12:8:6

=6:4:3

Answer 2

Answer:

The ratio of P : Q : R is 2 : 3 : 4

Step-by-step explanation:

Given: 2p = 3q = 4r

To find: The ratio P : Q : R

Solution:

Ratio:

A ratio is a division of the same kind that connects two numbers. The formula for the ratio of a to b is a: b = a / b.

We can refer to a as the first term or antecedent and b as the second term or consequent in the ratio a: b.

Proportion:

Two ratios are equivalent, according to the proportional principle.

If a: b = c: d, then it can be written as a: b:: c: d

Proportion of quantities

The four quantities a, b, c, d said proportion.

a : b = c : d

Therefore it can be written as

a : b : : c : d  <–> ( a x d ) = ( b x c )

product of means = product of extremes.

Given that 2p=3q=4r​

We have to find p:q:r

Let us take,

2p=3q=4r​ = k

2p = k

⇒ p = k/2

3q = k

⇒ q = k /3

4r = k

⇒ r = k/4

Therefore  p: q: r = k/2 : k /3  : k/4

Hence P : Q : R = 2: 3: 4

Final answer:

The ratio of P : Q : R is 2 : 3 : 4

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