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Finding the Fourth Proportional to 8,227.56, 12,343.17 and 3,842.64

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Solution

The fourth proportional to 8,227.56, 12,343.17 and 3,842.64 is: 5,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.56 : 12,343.17 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    8,227.56/12,343.17 = 3,842.64/x
  3. Step 3: Cross multiply
    8,227.56x = 12,343.17 × 3,842.64
  4. Step 4: Simplify right side
    8,227.56x = 47,430,358.77
  5. Step 5: Solve for x
    x = 47,430,358.77/8,227.56
  6. Step 6: Final answer
    x = 5,764.81

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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.