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Finding the Fourth Proportional to 3,964.97, 5,942.96 and 3,080.90

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Solution

The fourth proportional to 3,964.97, 5,942.96 and 3,080.90 is: 4,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.97 : 5,942.96 = 3,080.90 : x
  2. Step 2: Convert to fraction form
    3,964.97/5,942.96 = 3,080.90/x
  3. Step 3: Cross multiply
    3,964.97x = 5,942.96 × 3,080.90
  4. Step 4: Simplify right side
    3,964.97x = 18,309,676.47
  5. Step 5: Solve for x
    x = 18,309,676.47/3,964.97
  6. Step 6: Final answer
    x = 4,617.86

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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.