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Finding the Fourth Proportional to 17,781.28, 24,543.05 and 11,062.90

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Solution

The fourth proportional to 17,781.28, 24,543.05 and 11,062.90 is: 15,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.28 : 24,543.05 = 11,062.90 : x
  2. Step 2: Convert to fraction form
    17,781.28/24,543.05 = 11,062.90/x
  3. Step 3: Cross multiply
    17,781.28x = 24,543.05 × 11,062.90
  4. Step 4: Simplify right side
    17,781.28x = 271,517,191.17
  5. Step 5: Solve for x
    x = 271,517,191.17/17,781.28
  6. Step 6: Final answer
    x = 15,269.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.