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Finding the Fourth Proportional to 2,107.87, 3,162.15 and 791.73

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Solution

The fourth proportional to 2,107.87, 3,162.15 and 791.73 is: 1,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.87 : 3,162.15 = 791.73 : x
  2. Step 2: Convert to fraction form
    2,107.87/3,162.15 = 791.73/x
  3. Step 3: Cross multiply
    2,107.87x = 3,162.15 × 791.73
  4. Step 4: Simplify right side
    2,107.87x = 2,503,549.25
  5. Step 5: Solve for x
    x = 2,503,549.25/2,107.87
  6. Step 6: Final answer
    x = 1,187.72

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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.