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Finding the Fourth Proportional to 10,481.91, 15,722.81 and 4,241.87

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Solution

The fourth proportional to 10,481.91, 15,722.81 and 4,241.87 is: 6,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.91 : 15,722.81 = 4,241.87 : x
  2. Step 2: Convert to fraction form
    10,481.91/15,722.81 = 4,241.87/x
  3. Step 3: Cross multiply
    10,481.91x = 15,722.81 × 4,241.87
  4. Step 4: Simplify right side
    10,481.91x = 66,694,091.10
  5. Step 5: Solve for x
    x = 66,694,091.10/10,481.91
  6. Step 6: Final answer
    x = 6,362.78

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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.