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Finding the Fourth Proportional to 8,516.87, 12,775.30 and 2,276.55

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Solution

The fourth proportional to 8,516.87, 12,775.30 and 2,276.55 is: 3,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.87 : 12,775.30 = 2,276.55 : x
  2. Step 2: Convert to fraction form
    8,516.87/12,775.30 = 2,276.55/x
  3. Step 3: Cross multiply
    8,516.87x = 12,775.30 × 2,276.55
  4. Step 4: Simplify right side
    8,516.87x = 29,083,580.40
  5. Step 5: Solve for x
    x = 29,083,580.40/8,516.87
  6. Step 6: Final answer
    x = 3,414.82

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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.