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Finding the Fourth Proportional to 8,471.86, 11,691.96 and 4,695.18

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Solution

The fourth proportional to 8,471.86, 11,691.96 and 4,695.18 is: 6,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.86 : 11,691.96 = 4,695.18 : x
  2. Step 2: Convert to fraction form
    8,471.86/11,691.96 = 4,695.18/x
  3. Step 3: Cross multiply
    8,471.86x = 11,691.96 × 4,695.18
  4. Step 4: Simplify right side
    8,471.86x = 54,895,856.75
  5. Step 5: Solve for x
    x = 54,895,856.75/8,471.86
  6. Step 6: Final answer
    x = 6,479.79

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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.