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Finding the Fourth Proportional to 12,139.38, 16,752.87 and 6,834.54

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Solution

The fourth proportional to 12,139.38, 16,752.87 and 6,834.54 is: 9,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.38 : 16,752.87 = 6,834.54 : x
  2. Step 2: Convert to fraction form
    12,139.38/16,752.87 = 6,834.54/x
  3. Step 3: Cross multiply
    12,139.38x = 16,752.87 × 6,834.54
  4. Step 4: Simplify right side
    12,139.38x = 114,498,160.13
  5. Step 5: Solve for x
    x = 114,498,160.13/12,139.38
  6. Step 6: Final answer
    x = 9,431.96

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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.