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Finding the Fourth Proportional to 8,414.32, 12,615.41 and 2,567.74

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Solution

The fourth proportional to 8,414.32, 12,615.41 and 2,567.74 is: 3,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.32 : 12,615.41 = 2,567.74 : x
  2. Step 2: Convert to fraction form
    8,414.32/12,615.41 = 2,567.74/x
  3. Step 3: Cross multiply
    8,414.32x = 12,615.41 × 2,567.74
  4. Step 4: Simplify right side
    8,414.32x = 32,393,100.62
  5. Step 5: Solve for x
    x = 32,393,100.62/8,414.32
  6. Step 6: Final answer
    x = 3,849.76

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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.