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Finding the Fourth Proportional to 8,255.25, 12,382.88 and 2,411.91

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Solution

The fourth proportional to 8,255.25, 12,382.88 and 2,411.91 is: 3,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.25 : 12,382.88 = 2,411.91 : x
  2. Step 2: Convert to fraction form
    8,255.25/12,382.88 = 2,411.91/x
  3. Step 3: Cross multiply
    8,255.25x = 12,382.88 × 2,411.91
  4. Step 4: Simplify right side
    8,255.25x = 29,866,380.04
  5. Step 5: Solve for x
    x = 29,866,380.04/8,255.25
  6. Step 6: Final answer
    x = 3,617.87

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