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Finding the Fourth Proportional to 3,847.44, 5,769.10 and 1,993.95

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Solution

The fourth proportional to 3,847.44, 5,769.10 and 1,993.95 is: 2,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.44 : 5,769.10 = 1,993.95 : x
  2. Step 2: Convert to fraction form
    3,847.44/5,769.10 = 1,993.95/x
  3. Step 3: Cross multiply
    3,847.44x = 5,769.10 × 1,993.95
  4. Step 4: Simplify right side
    3,847.44x = 11,503,296.95
  5. Step 5: Solve for x
    x = 11,503,296.95/3,847.44
  6. Step 6: Final answer
    x = 2,989.86

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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.