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Finding the Fourth Proportional to 3,840.85, 5,760.46 and 1,375.84

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Solution

The fourth proportional to 3,840.85, 5,760.46 and 1,375.84 is: 2,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.85 : 5,760.46 = 1,375.84 : x
  2. Step 2: Convert to fraction form
    3,840.85/5,760.46 = 1,375.84/x
  3. Step 3: Cross multiply
    3,840.85x = 5,760.46 × 1,375.84
  4. Step 4: Simplify right side
    3,840.85x = 7,925,471.29
  5. Step 5: Solve for x
    x = 7,925,471.29/3,840.85
  6. Step 6: Final answer
    x = 2,063.47

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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.