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Finding the Fourth Proportional to 38,249, 57,375.66 and 13,625

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Solution

The fourth proportional to 38,249, 57,375.66 and 13,625 is: 20,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249 : 57,375.66 = 13,625 : x
  2. Step 2: Convert to fraction form
    38,249/57,375.66 = 13,625/x
  3. Step 3: Cross multiply
    38,249x = 57,375.66 × 13,625
  4. Step 4: Simplify right side
    38,249x = 781,743,367.50
  5. Step 5: Solve for x
    x = 781,743,367.50/38,249
  6. Step 6: Final answer
    x = 20,438.27

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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.