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Finding the Fourth Proportional to 11,691.54, 16,139.05 and 7,919.78

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Solution

The fourth proportional to 11,691.54, 16,139.05 and 7,919.78 is: 10,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.54 : 16,139.05 = 7,919.78 : x
  2. Step 2: Convert to fraction form
    11,691.54/16,139.05 = 7,919.78/x
  3. Step 3: Cross multiply
    11,691.54x = 16,139.05 × 7,919.78
  4. Step 4: Simplify right side
    11,691.54x = 127,817,624.91
  5. Step 5: Solve for x
    x = 127,817,624.91/11,691.54
  6. Step 6: Final answer
    x = 10,932.49

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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.