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Finding the Fourth Proportional to 7,161.46, 10,744.25 and 3,213.88

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Solution

The fourth proportional to 7,161.46, 10,744.25 and 3,213.88 is: 4,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.46 : 10,744.25 = 3,213.88 : x
  2. Step 2: Convert to fraction form
    7,161.46/10,744.25 = 3,213.88/x
  3. Step 3: Cross multiply
    7,161.46x = 10,744.25 × 3,213.88
  4. Step 4: Simplify right side
    7,161.46x = 34,530,687.26
  5. Step 5: Solve for x
    x = 34,530,687.26/7,161.46
  6. Step 6: Final answer
    x = 4,821.74

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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.