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Finding the Fourth Proportional to 8,212.92, 12,321 and 2,665.24

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Solution

The fourth proportional to 8,212.92, 12,321 and 2,665.24 is: 3,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.92 : 12,321 = 2,665.24 : x
  2. Step 2: Convert to fraction form
    8,212.92/12,321 = 2,665.24/x
  3. Step 3: Cross multiply
    8,212.92x = 12,321 × 2,665.24
  4. Step 4: Simplify right side
    8,212.92x = 32,838,422.04
  5. Step 5: Solve for x
    x = 32,838,422.04/8,212.92
  6. Step 6: Final answer
    x = 3,998.39

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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.