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Finding the Fourth Proportional to 3,234.56, 4,843.20 and 2,739.20

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Solution

The fourth proportional to 3,234.56, 4,843.20 and 2,739.20 is: 4,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.56 : 4,843.20 = 2,739.20 : x
  2. Step 2: Convert to fraction form
    3,234.56/4,843.20 = 2,739.20/x
  3. Step 3: Cross multiply
    3,234.56x = 4,843.20 × 2,739.20
  4. Step 4: Simplify right side
    3,234.56x = 13,266,493.44
  5. Step 5: Solve for x
    x = 13,266,493.44/3,234.56
  6. Step 6: Final answer
    x = 4,101.48

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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.