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Finding the Fourth Proportional to 49.39, 74.13 and 23.71

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Solution

The fourth proportional to 49.39, 74.13 and 23.71 is: 35.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.39 : 74.13 = 23.71 : x
  2. Step 2: Convert to fraction form
    49.39/74.13 = 23.71/x
  3. Step 3: Cross multiply
    49.39x = 74.13 × 23.71
  4. Step 4: Simplify right side
    49.39x = 1,757.62
  5. Step 5: Solve for x
    x = 1,757.62/49.39
  6. Step 6: Final answer
    x = 35.59

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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.