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Finding the Fourth Proportional to 8,470.59, 12,703.19 and 7,917.78

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Solution

The fourth proportional to 8,470.59, 12,703.19 and 7,917.78 is: 11,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.59 : 12,703.19 = 7,917.78 : x
  2. Step 2: Convert to fraction form
    8,470.59/12,703.19 = 7,917.78/x
  3. Step 3: Cross multiply
    8,470.59x = 12,703.19 × 7,917.78
  4. Step 4: Simplify right side
    8,470.59x = 100,581,063.72
  5. Step 5: Solve for x
    x = 100,581,063.72/8,470.59
  6. Step 6: Final answer
    x = 11,874.15

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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.