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Finding the Fourth Proportional to 12,375, 18,539.42 and 6,127.88

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Solution

The fourth proportional to 12,375, 18,539.42 and 6,127.88 is: 9,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 18,539.42 = 6,127.88 : x
  2. Step 2: Convert to fraction form
    12,375/18,539.42 = 6,127.88/x
  3. Step 3: Cross multiply
    12,375x = 18,539.42 × 6,127.88
  4. Step 4: Simplify right side
    12,375x = 113,607,217.69
  5. Step 5: Solve for x
    x = 113,607,217.69/12,375
  6. Step 6: Final answer
    x = 9,180.38

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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.