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Finding the Fourth Proportional to 4,764.64, 7,138.86 and 3,375.64

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Solution

The fourth proportional to 4,764.64, 7,138.86 and 3,375.64 is: 5,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.64 : 7,138.86 = 3,375.64 : x
  2. Step 2: Convert to fraction form
    4,764.64/7,138.86 = 3,375.64/x
  3. Step 3: Cross multiply
    4,764.64x = 7,138.86 × 3,375.64
  4. Step 4: Simplify right side
    4,764.64x = 24,098,221.37
  5. Step 5: Solve for x
    x = 24,098,221.37/4,764.64
  6. Step 6: Final answer
    x = 5,057.72

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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.