Finding the Fourth Proportional to 40,996.32, 61,494.50 and 31,650
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Solution
The fourth proportional to 40,996.32, 61,494.50 and 31,650 is: 47,475.02
Step by Step Solution
- Step 1: Write the proportion equation
40,996.32 : 61,494.50 = 31,650 : x - Step 2: Convert to fraction form
40,996.32/61,494.50 = 31,650/x - Step 3: Cross multiply
40,996.32x = 61,494.50 × 31,650 - Step 4: Simplify right side
40,996.32x = 1,946,300,925 - Step 5: Solve for x
x = 1,946,300,925/40,996.32 - Step 6: Final answer
x = 47,475.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.