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Finding the Fourth Proportional to 16,201.31, 22,363.92 and 9,489.11

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Solution

The fourth proportional to 16,201.31, 22,363.92 and 9,489.11 is: 13,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.31 : 22,363.92 = 9,489.11 : x
  2. Step 2: Convert to fraction form
    16,201.31/22,363.92 = 9,489.11/x
  3. Step 3: Cross multiply
    16,201.31x = 22,363.92 × 9,489.11
  4. Step 4: Simplify right side
    16,201.31x = 212,213,585.09
  5. Step 5: Solve for x
    x = 212,213,585.09/16,201.31
  6. Step 6: Final answer
    x = 13,098.55

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1.5x scale

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.