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Finding the Fourth Proportional to 8,251.63, 12,377.99 and 2,407.75

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Solution

The fourth proportional to 8,251.63, 12,377.99 and 2,407.75 is: 3,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.63 : 12,377.99 = 2,407.75 : x
  2. Step 2: Convert to fraction form
    8,251.63/12,377.99 = 2,407.75/x
  3. Step 3: Cross multiply
    8,251.63x = 12,377.99 × 2,407.75
  4. Step 4: Simplify right side
    8,251.63x = 29,803,105.42
  5. Step 5: Solve for x
    x = 29,803,105.42/8,251.63
  6. Step 6: Final answer
    x = 3,611.78

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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.