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Finding the Fourth Proportional to 8,377.59, 12,562.52 and 7,720.95

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Solution

The fourth proportional to 8,377.59, 12,562.52 and 7,720.95 is: 11,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.59 : 12,562.52 = 7,720.95 : x
  2. Step 2: Convert to fraction form
    8,377.59/12,562.52 = 7,720.95/x
  3. Step 3: Cross multiply
    8,377.59x = 12,562.52 × 7,720.95
  4. Step 4: Simplify right side
    8,377.59x = 96,994,550.19
  5. Step 5: Solve for x
    x = 96,994,550.19/8,377.59
  6. Step 6: Final answer
    x = 11,577.86

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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.