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Finding the Fourth Proportional to 11,687.62, 16,129 and 6,382.57

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Solution

The fourth proportional to 11,687.62, 16,129 and 6,382.57 is: 8,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.62 : 16,129 = 6,382.57 : x
  2. Step 2: Convert to fraction form
    11,687.62/16,129 = 6,382.57/x
  3. Step 3: Cross multiply
    11,687.62x = 16,129 × 6,382.57
  4. Step 4: Simplify right side
    11,687.62x = 102,944,471.53
  5. Step 5: Solve for x
    x = 102,944,471.53/11,687.62
  6. Step 6: Final answer
    x = 8,807.99

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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.