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Finding the Fourth Proportional to 38.47, 52.87 and 31.99

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Solution

The fourth proportional to 38.47, 52.87 and 31.99 is: 43.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.47 : 52.87 = 31.99 : x
  2. Step 2: Convert to fraction form
    38.47/52.87 = 31.99/x
  3. Step 3: Cross multiply
    38.47x = 52.87 × 31.99
  4. Step 4: Simplify right side
    38.47x = 1,691.40
  5. Step 5: Solve for x
    x = 1,691.40/38.47
  6. Step 6: Final answer
    x = 43.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.