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Finding the Fourth Proportional to 3,791.87, 5,687.78 and 980.70

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Solution

The fourth proportional to 3,791.87, 5,687.78 and 980.70 is: 1,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.87 : 5,687.78 = 980.70 : x
  2. Step 2: Convert to fraction form
    3,791.87/5,687.78 = 980.70/x
  3. Step 3: Cross multiply
    3,791.87x = 5,687.78 × 980.70
  4. Step 4: Simplify right side
    3,791.87x = 5,578,000.94
  5. Step 5: Solve for x
    x = 5,578,000.94/3,791.87
  6. Step 6: Final answer
    x = 1,471.04

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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.