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Finding the Fourth Proportional to 11,687.78, 16,129.14 and 6,382.94

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Solution

The fourth proportional to 11,687.78, 16,129.14 and 6,382.94 is: 8,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.78 : 16,129.14 = 6,382.94 : x
  2. Step 2: Convert to fraction form
    11,687.78/16,129.14 = 6,382.94/x
  3. Step 3: Cross multiply
    11,687.78x = 16,129.14 × 6,382.94
  4. Step 4: Simplify right side
    11,687.78x = 102,951,332.87
  5. Step 5: Solve for x
    x = 102,951,332.87/11,687.78
  6. Step 6: Final answer
    x = 8,808.46

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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.