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Finding the Fourth Proportional to 14,616.53, 20,172.95 and 8,650.12

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Solution

The fourth proportional to 14,616.53, 20,172.95 and 8,650.12 is: 11,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.53 : 20,172.95 = 8,650.12 : x
  2. Step 2: Convert to fraction form
    14,616.53/20,172.95 = 8,650.12/x
  3. Step 3: Cross multiply
    14,616.53x = 20,172.95 × 8,650.12
  4. Step 4: Simplify right side
    14,616.53x = 174,498,358.10
  5. Step 5: Solve for x
    x = 174,498,358.10/14,616.53
  6. Step 6: Final answer
    x = 11,938.43

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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.