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Finding the Fourth Proportional to 3,149.91, 4,724.76 and 1,691.91

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Solution

The fourth proportional to 3,149.91, 4,724.76 and 1,691.91 is: 2,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.91 : 4,724.76 = 1,691.91 : x
  2. Step 2: Convert to fraction form
    3,149.91/4,724.76 = 1,691.91/x
  3. Step 3: Cross multiply
    3,149.91x = 4,724.76 × 1,691.91
  4. Step 4: Simplify right side
    3,149.91x = 7,993,868.69
  5. Step 5: Solve for x
    x = 7,993,868.69/3,149.91
  6. Step 6: Final answer
    x = 2,537.81

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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.