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Finding the Fourth Proportional to 6,481.10, 9,719.22 and 2,781.42

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Solution

The fourth proportional to 6,481.10, 9,719.22 and 2,781.42 is: 4,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.10 : 9,719.22 = 2,781.42 : x
  2. Step 2: Convert to fraction form
    6,481.10/9,719.22 = 2,781.42/x
  3. Step 3: Cross multiply
    6,481.10x = 9,719.22 × 2,781.42
  4. Step 4: Simplify right side
    6,481.10x = 27,033,238.08
  5. Step 5: Solve for x
    x = 27,033,238.08/6,481.10
  6. Step 6: Final answer
    x = 4,171.09

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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.