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Finding the Fourth Proportional to 3,841.44, 5,764.32 and 1,375.84

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Solution

The fourth proportional to 3,841.44, 5,764.32 and 1,375.84 is: 2,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.44 : 5,764.32 = 1,375.84 : x
  2. Step 2: Convert to fraction form
    3,841.44/5,764.32 = 1,375.84/x
  3. Step 3: Cross multiply
    3,841.44x = 5,764.32 × 1,375.84
  4. Step 4: Simplify right side
    3,841.44x = 7,930,782.03
  5. Step 5: Solve for x
    x = 7,930,782.03/3,841.44
  6. Step 6: Final answer
    x = 2,064.53

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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.