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Finding the Fourth Proportional to 3,844.87, 5,760.82 and 2,803.41

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Solution

The fourth proportional to 3,844.87, 5,760.82 and 2,803.41 is: 4,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.87 : 5,760.82 = 2,803.41 : x
  2. Step 2: Convert to fraction form
    3,844.87/5,760.82 = 2,803.41/x
  3. Step 3: Cross multiply
    3,844.87x = 5,760.82 × 2,803.41
  4. Step 4: Simplify right side
    3,844.87x = 16,149,943.90
  5. Step 5: Solve for x
    x = 16,149,943.90/3,844.87
  6. Step 6: Final answer
    x = 4,200.39

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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.