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Finding the Fourth Proportional to 8,470.92, 12,720.96 and 4,578.06

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Solution

The fourth proportional to 8,470.92, 12,720.96 and 4,578.06 is: 6,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.92 : 12,720.96 = 4,578.06 : x
  2. Step 2: Convert to fraction form
    8,470.92/12,720.96 = 4,578.06/x
  3. Step 3: Cross multiply
    8,470.92x = 12,720.96 × 4,578.06
  4. Step 4: Simplify right side
    8,470.92x = 58,237,318.14
  5. Step 5: Solve for x
    x = 58,237,318.14/8,470.92
  6. Step 6: Final answer
    x = 6,874.97

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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.