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Finding the Fourth Proportional to 38.61, 57.92 and 14.56

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Solution

The fourth proportional to 38.61, 57.92 and 14.56 is: 21.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 57.92 = 14.56 : x
  2. Step 2: Convert to fraction form
    38.61/57.92 = 14.56/x
  3. Step 3: Cross multiply
    38.61x = 57.92 × 14.56
  4. Step 4: Simplify right side
    38.61x = 843.50
  5. Step 5: Solve for x
    x = 843.50/38.61
  6. Step 6: Final answer
    x = 21.85

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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.