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Finding the Fourth Proportional to 39.53, 54.19 and 38.85

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Solution

The fourth proportional to 39.53, 54.19 and 38.85 is: 53.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.53 : 54.19 = 38.85 : x
  2. Step 2: Convert to fraction form
    39.53/54.19 = 38.85/x
  3. Step 3: Cross multiply
    39.53x = 54.19 × 38.85
  4. Step 4: Simplify right side
    39.53x = 2,105.01
  5. Step 5: Solve for x
    x = 2,105.01/39.53
  6. Step 6: Final answer
    x = 53.26

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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.