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Finding the Fourth Proportional to 12,398.73, 18,600.82 and 4,078.41

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Solution

The fourth proportional to 12,398.73, 18,600.82 and 4,078.41 is: 6,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.73 : 18,600.82 = 4,078.41 : x
  2. Step 2: Convert to fraction form
    12,398.73/18,600.82 = 4,078.41/x
  3. Step 3: Cross multiply
    12,398.73x = 18,600.82 × 4,078.41
  4. Step 4: Simplify right side
    12,398.73x = 75,861,770.30
  5. Step 5: Solve for x
    x = 75,861,770.30/12,398.73
  6. Step 6: Final answer
    x = 6,118.51

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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.