What is the fourth proportional of 21,56 and 27?
- A81
- B96
- C72
- D54
Solution & Step-by-step Explanation
Let the fourth proportional of a,b, and c be d. By definition:
a:b::c:d⟹
b
a
=
d
c
⟹d=
a
b×c
Given values: a=21,b=56,c=27.
Substituting these values:
d=
21
56×27
Simplifying the fraction:
d=
3
8×27
(dividing 56 and 21 by 7)
d=8×9=72
a:b::c:d⟹
b
a
=
d
c
⟹d=
a
b×c
Given values: a=21,b=56,c=27.
Substituting these values:
d=
21
56×27
Simplifying the fraction:
d=
3
8×27
(dividing 56 and 21 by 7)
d=8×9=72