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Finding the Fourth Proportional to 26,691.20, 40,061.88 and 13,553

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Solution

The fourth proportional to 26,691.20, 40,061.88 and 13,553 is: 20,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691.20 : 40,061.88 = 13,553 : x
  2. Step 2: Convert to fraction form
    26,691.20/40,061.88 = 13,553/x
  3. Step 3: Cross multiply
    26,691.20x = 40,061.88 × 13,553
  4. Step 4: Simplify right side
    26,691.20x = 542,958,659.64
  5. Step 5: Solve for x
    x = 542,958,659.64/26,691.20
  6. Step 6: Final answer
    x = 20,342.23

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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.