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Finding the Fourth Proportional to 61.44, 91.97 and 47.65

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Solution

The fourth proportional to 61.44, 91.97 and 47.65 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 91.97 = 47.65 : x
  2. Step 2: Convert to fraction form
    61.44/91.97 = 47.65/x
  3. Step 3: Cross multiply
    61.44x = 91.97 × 47.65
  4. Step 4: Simplify right side
    61.44x = 4,382.37
  5. Step 5: Solve for x
    x = 4,382.37/61.44
  6. Step 6: Final answer
    x = 71.33

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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.