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Finding the Fourth Proportional to 16,320.38, 22,522.25 and 8,868.38

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Solution

The fourth proportional to 16,320.38, 22,522.25 and 8,868.38 is: 12,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.38 : 22,522.25 = 8,868.38 : x
  2. Step 2: Convert to fraction form
    16,320.38/22,522.25 = 8,868.38/x
  3. Step 3: Cross multiply
    16,320.38x = 22,522.25 × 8,868.38
  4. Step 4: Simplify right side
    16,320.38x = 199,735,781.01
  5. Step 5: Solve for x
    x = 199,735,781.01/16,320.38
  6. Step 6: Final answer
    x = 12,238.43

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Why These Related Problems?

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