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Finding the Fourth Proportional to 41.12, 61.32 and 39.84

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Solution

The fourth proportional to 41.12, 61.32 and 39.84 is: 59.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.12 : 61.32 = 39.84 : x
  2. Step 2: Convert to fraction form
    41.12/61.32 = 39.84/x
  3. Step 3: Cross multiply
    41.12x = 61.32 × 39.84
  4. Step 4: Simplify right side
    41.12x = 2,442.99
  5. Step 5: Solve for x
    x = 2,442.99/41.12
  6. Step 6: Final answer
    x = 59.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.