Finding the Fourth Proportional to 31,569.12, 47,353.68 and 11,844
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Solution
The fourth proportional to 31,569.12, 47,353.68 and 11,844 is: 17,766
Step by Step Solution
- Step 1: Write the proportion equation
31,569.12 : 47,353.68 = 11,844 : x - Step 2: Convert to fraction form
31,569.12/47,353.68 = 11,844/x - Step 3: Cross multiply
31,569.12x = 47,353.68 × 11,844 - Step 4: Simplify right side
31,569.12x = 560,856,985.92 - Step 5: Solve for x
x = 560,856,985.92/31,569.12 - Step 6: Final answer
x = 17,766
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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.