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Finding the Fourth Proportional to 61.67, 92.59 and 38.79

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Solution

The fourth proportional to 61.67, 92.59 and 38.79 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 92.59 = 38.79 : x
  2. Step 2: Convert to fraction form
    61.67/92.59 = 38.79/x
  3. Step 3: Cross multiply
    61.67x = 92.59 × 38.79
  4. Step 4: Simplify right side
    61.67x = 3,591.57
  5. Step 5: Solve for x
    x = 3,591.57/61.67
  6. Step 6: Final answer
    x = 58.24

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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.