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Finding the Fourth Proportional to 3,838.40, 5,761.20 and 3,291.20

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Solution

The fourth proportional to 3,838.40, 5,761.20 and 3,291.20 is: 4,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.40 : 5,761.20 = 3,291.20 : x
  2. Step 2: Convert to fraction form
    3,838.40/5,761.20 = 3,291.20/x
  3. Step 3: Cross multiply
    3,838.40x = 5,761.20 × 3,291.20
  4. Step 4: Simplify right side
    3,838.40x = 18,961,261.44
  5. Step 5: Solve for x
    x = 18,961,261.44/3,838.40
  6. Step 6: Final answer
    x = 4,939.89

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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.