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Finding the Fourth Proportional to 3,791.80, 5,687.70 and 1,483.30

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Solution

The fourth proportional to 3,791.80, 5,687.70 and 1,483.30 is: 2,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.80 : 5,687.70 = 1,483.30 : x
  2. Step 2: Convert to fraction form
    3,791.80/5,687.70 = 1,483.30/x
  3. Step 3: Cross multiply
    3,791.80x = 5,687.70 × 1,483.30
  4. Step 4: Simplify right side
    3,791.80x = 8,436,565.41
  5. Step 5: Solve for x
    x = 8,436,565.41/3,791.80
  6. Step 6: Final answer
    x = 2,224.95

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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.