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Finding the Fourth Proportional to 3,853.28, 5,770.16 and 2,764.64

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Solution

The fourth proportional to 3,853.28, 5,770.16 and 2,764.64 is: 4,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.28 : 5,770.16 = 2,764.64 : x
  2. Step 2: Convert to fraction form
    3,853.28/5,770.16 = 2,764.64/x
  3. Step 3: Cross multiply
    3,853.28x = 5,770.16 × 2,764.64
  4. Step 4: Simplify right side
    3,853.28x = 15,952,415.14
  5. Step 5: Solve for x
    x = 15,952,415.14/3,853.28
  6. Step 6: Final answer
    x = 4,139.96

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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.