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Finding the Fourth Proportional to 38,503.72, 57,755.90 and 13,543.94

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Solution

The fourth proportional to 38,503.72, 57,755.90 and 13,543.94 is: 20,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.72 : 57,755.90 = 13,543.94 : x
  2. Step 2: Convert to fraction form
    38,503.72/57,755.90 = 13,543.94/x
  3. Step 3: Cross multiply
    38,503.72x = 57,755.90 × 13,543.94
  4. Step 4: Simplify right side
    38,503.72x = 782,242,444.25
  5. Step 5: Solve for x
    x = 782,242,444.25/38,503.72
  6. Step 6: Final answer
    x = 20,316.02

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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.