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Finding the Fourth Proportional to 21,728, 32,569.92 and 8,562.24

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Solution

The fourth proportional to 21,728, 32,569.92 and 8,562.24 is: 12,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728 : 32,569.92 = 8,562.24 : x
  2. Step 2: Convert to fraction form
    21,728/32,569.92 = 8,562.24/x
  3. Step 3: Cross multiply
    21,728x = 32,569.92 × 8,562.24
  4. Step 4: Simplify right side
    21,728x = 278,871,471.82
  5. Step 5: Solve for x
    x = 278,871,471.82/21,728
  6. Step 6: Final answer
    x = 12,834.66

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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.