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Finding the Fourth Proportional to 8,414.80, 12,619.02 and 2,490.52

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Solution

The fourth proportional to 8,414.80, 12,619.02 and 2,490.52 is: 3,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.80 : 12,619.02 = 2,490.52 : x
  2. Step 2: Convert to fraction form
    8,414.80/12,619.02 = 2,490.52/x
  3. Step 3: Cross multiply
    8,414.80x = 12,619.02 × 2,490.52
  4. Step 4: Simplify right side
    8,414.80x = 31,427,921.69
  5. Step 5: Solve for x
    x = 31,427,921.69/8,414.80
  6. Step 6: Final answer
    x = 3,734.84

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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.