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Finding the Fourth Proportional to 8,584.20, 12,879.90 and 6,411.78

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Solution

The fourth proportional to 8,584.20, 12,879.90 and 6,411.78 is: 9,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.20 : 12,879.90 = 6,411.78 : x
  2. Step 2: Convert to fraction form
    8,584.20/12,879.90 = 6,411.78/x
  3. Step 3: Cross multiply
    8,584.20x = 12,879.90 × 6,411.78
  4. Step 4: Simplify right side
    8,584.20x = 82,583,085.22
  5. Step 5: Solve for x
    x = 82,583,085.22/8,584.20
  6. Step 6: Final answer
    x = 9,620.36

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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.