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Finding the Fourth Proportional to 21,593.76, 32,386 and 9,108.96

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Solution

The fourth proportional to 21,593.76, 32,386 and 9,108.96 is: 13,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.76 : 32,386 = 9,108.96 : x
  2. Step 2: Convert to fraction form
    21,593.76/32,386 = 9,108.96/x
  3. Step 3: Cross multiply
    21,593.76x = 32,386 × 9,108.96
  4. Step 4: Simplify right side
    21,593.76x = 295,002,778.56
  5. Step 5: Solve for x
    x = 295,002,778.56/21,593.76
  6. Step 6: Final answer
    x = 13,661.48

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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.