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Finding the Fourth Proportional to 3,791.77, 5,687.64 and 980.61

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Solution

The fourth proportional to 3,791.77, 5,687.64 and 980.61 is: 1,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.77 : 5,687.64 = 980.61 : x
  2. Step 2: Convert to fraction form
    3,791.77/5,687.64 = 980.61/x
  3. Step 3: Cross multiply
    3,791.77x = 5,687.64 × 980.61
  4. Step 4: Simplify right side
    3,791.77x = 5,577,335.33
  5. Step 5: Solve for x
    x = 5,577,335.33/3,791.77
  6. Step 6: Final answer
    x = 1,470.91

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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.