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Finding the Fourth Proportional to 11,147, 15,382.86 and 6,179

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Solution

The fourth proportional to 11,147, 15,382.86 and 6,179 is: 8,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147 : 15,382.86 = 6,179 : x
  2. Step 2: Convert to fraction form
    11,147/15,382.86 = 6,179/x
  3. Step 3: Cross multiply
    11,147x = 15,382.86 × 6,179
  4. Step 4: Simplify right side
    11,147x = 95,050,691.94
  5. Step 5: Solve for x
    x = 95,050,691.94/11,147
  6. Step 6: Final answer
    x = 8,527.02

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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.