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Finding the Fourth Proportional to 41.09, 56.96 and 39

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Solution

The fourth proportional to 41.09, 56.96 and 39 is: 54.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 56.96 = 39 : x
  2. Step 2: Convert to fraction form
    41.09/56.96 = 39/x
  3. Step 3: Cross multiply
    41.09x = 56.96 × 39
  4. Step 4: Simplify right side
    41.09x = 2,221.44
  5. Step 5: Solve for x
    x = 2,221.44/41.09
  6. Step 6: Final answer
    x = 54.06

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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.