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Finding the Fourth Proportional to 39.71, 54.38 and 38.63

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Solution

The fourth proportional to 39.71, 54.38 and 38.63 is: 52.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.71 : 54.38 = 38.63 : x
  2. Step 2: Convert to fraction form
    39.71/54.38 = 38.63/x
  3. Step 3: Cross multiply
    39.71x = 54.38 × 38.63
  4. Step 4: Simplify right side
    39.71x = 2,100.93
  5. Step 5: Solve for x
    x = 2,100.93/39.71
  6. Step 6: Final answer
    x = 52.90

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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.