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Finding the Fourth Proportional to 3,804.87, 5,711.19 and 2,049.80

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Solution

The fourth proportional to 3,804.87, 5,711.19 and 2,049.80 is: 3,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.87 : 5,711.19 = 2,049.80 : x
  2. Step 2: Convert to fraction form
    3,804.87/5,711.19 = 2,049.80/x
  3. Step 3: Cross multiply
    3,804.87x = 5,711.19 × 2,049.80
  4. Step 4: Simplify right side
    3,804.87x = 11,706,787.01
  5. Step 5: Solve for x
    x = 11,706,787.01/3,804.87
  6. Step 6: Final answer
    x = 3,076.79

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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.