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Finding the Fourth Proportional to 54.78, 81.96 and 31.97

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Solution

The fourth proportional to 54.78, 81.96 and 31.97 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 81.96 = 31.97 : x
  2. Step 2: Convert to fraction form
    54.78/81.96 = 31.97/x
  3. Step 3: Cross multiply
    54.78x = 81.96 × 31.97
  4. Step 4: Simplify right side
    54.78x = 2,619.85
  5. Step 5: Solve for x
    x = 2,619.85/54.78
  6. Step 6: Final answer
    x = 47.82

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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.