.FIND THE FOURTH PROPORTIONAL OF
(I) 3,12 AND 4
(II) 5,9 AND 45
(III) 2.1 , 1.5 AND 8.4
(IV) 1/3 , 2/5 AND 8.4
(V) 4 HOURS 40 MIN , 1 HOUR 10 MIN AND 16 HOURS
PLS ANSWER THIS QUESTION or else it will be reported pls answer this
Answers
Answer:
Q2) Find the fourth proportional of
(i) 3,12 and 4
(ii) 5.9 and 45
(iii) 2.1, 1.5 and 8.4
(iv) \frac{1}{3},\frac{2}{5}and\ 8.4
3
1
,
5
2
and 8.4
(v) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours
Solution
Transcript
Solution:
(i) 4th proportional to 3,12 and 4
=\frac{12\times4}{3}=
3
12×4
= 16
(ii) 4th proportional to 5,9 and 45
=\frac{94\times5}{5}=
5
94×5
= 81
(iii) 4th proportional to 2.1, 1.5 and 8.4
=\frac{1.5\times8.4}{2.1}=
2.1
1.5×8.4
=1.5\times4=6.0=1.5×4=6.0
(iv) 4th proportional to \frac{1}{3},\frac{2}{5}\ and\ 8.4
3
1
,
5
2
and 8.4
=\frac{2}{5}\times8.4\times\frac{3}{1}=
5
2
×8.4×
1
3
=\frac{2\times84\times3}{5\times10\times1}=\frac{252}{25}=10.08=
5×10×1
2×84×3
=
25
252
=10.08
(v) 4th proportional to 4 hours 40 minutes, 1 hour 10 minutes and 16 hours
=4\times60+40=280\ hours=4×60+40=280 hours
=1\times60+10=70\ hours=1×60+10=70 hours
=16\times60=940\ hours=16×60=940 hours
Fourth proportional = \frac{70\times940}{280}
280
70×940
= 240 minutes
=\frac{240}{60}=
60
240
= 4 hours
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