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Finding the Fourth Proportional to 2,982.87, 4,474.31 and 791.82

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Solution

The fourth proportional to 2,982.87, 4,474.31 and 791.82 is: 1,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.87 : 4,474.31 = 791.82 : x
  2. Step 2: Convert to fraction form
    2,982.87/4,474.31 = 791.82/x
  3. Step 3: Cross multiply
    2,982.87x = 4,474.31 × 791.82
  4. Step 4: Simplify right side
    2,982.87x = 3,542,844.19
  5. Step 5: Solve for x
    x = 3,542,844.19/2,982.87
  6. Step 6: Final answer
    x = 1,187.73

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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.