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Finding the Fourth Proportional to 11,917.92, 17,879.92 and 8,414.75

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Solution

The fourth proportional to 11,917.92, 17,879.92 and 8,414.75 is: 12,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.92 : 17,879.92 = 8,414.75 : x
  2. Step 2: Convert to fraction form
    11,917.92/17,879.92 = 8,414.75/x
  3. Step 3: Cross multiply
    11,917.92x = 17,879.92 × 8,414.75
  4. Step 4: Simplify right side
    11,917.92x = 150,455,056.82
  5. Step 5: Solve for x
    x = 150,455,056.82/11,917.92
  6. Step 6: Final answer
    x = 12,624.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.