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Finding the Fourth Proportional to 51.97, 71.68 and 32.56

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Solution

The fourth proportional to 51.97, 71.68 and 32.56 is: 44.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 71.68 = 32.56 : x
  2. Step 2: Convert to fraction form
    51.97/71.68 = 32.56/x
  3. Step 3: Cross multiply
    51.97x = 71.68 × 32.56
  4. Step 4: Simplify right side
    51.97x = 2,333.90
  5. Step 5: Solve for x
    x = 2,333.90/51.97
  6. Step 6: Final answer
    x = 44.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.