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Finding the Fourth Proportional to 27,950, 38,571.36 and 15,375.20

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Solution

The fourth proportional to 27,950, 38,571.36 and 15,375.20 is: 21,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950 : 38,571.36 = 15,375.20 : x
  2. Step 2: Convert to fraction form
    27,950/38,571.36 = 15,375.20/x
  3. Step 3: Cross multiply
    27,950x = 38,571.36 × 15,375.20
  4. Step 4: Simplify right side
    27,950x = 593,042,374.27
  5. Step 5: Solve for x
    x = 593,042,374.27/27,950
  6. Step 6: Final answer
    x = 21,217.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.