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Finding the Fourth Proportional to 3,815.94, 5,722.88 and 1,350.44

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Solution

The fourth proportional to 3,815.94, 5,722.88 and 1,350.44 is: 2,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.94 : 5,722.88 = 1,350.44 : x
  2. Step 2: Convert to fraction form
    3,815.94/5,722.88 = 1,350.44/x
  3. Step 3: Cross multiply
    3,815.94x = 5,722.88 × 1,350.44
  4. Step 4: Simplify right side
    3,815.94x = 7,728,370.70
  5. Step 5: Solve for x
    x = 7,728,370.70/3,815.94
  6. Step 6: Final answer
    x = 2,025.29

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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.