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Finding the Fourth Proportional to 47.97, 66.47 and 47.41

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Solution

The fourth proportional to 47.97, 66.47 and 47.41 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 66.47 = 47.41 : x
  2. Step 2: Convert to fraction form
    47.97/66.47 = 47.41/x
  3. Step 3: Cross multiply
    47.97x = 66.47 × 47.41
  4. Step 4: Simplify right side
    47.97x = 3,151.34
  5. Step 5: Solve for x
    x = 3,151.34/47.97
  6. Step 6: Final answer
    x = 65.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.