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Finding the Fourth Proportional to 16,120.38, 22,246.83 and 10,149.78

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Solution

The fourth proportional to 16,120.38, 22,246.83 and 10,149.78 is: 14,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.38 : 22,246.83 = 10,149.78 : x
  2. Step 2: Convert to fraction form
    16,120.38/22,246.83 = 10,149.78/x
  3. Step 3: Cross multiply
    16,120.38x = 22,246.83 × 10,149.78
  4. Step 4: Simplify right side
    16,120.38x = 225,800,430.20
  5. Step 5: Solve for x
    x = 225,800,430.20/16,120.38
  6. Step 6: Final answer
    x = 14,007.14

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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.