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Finding the Fourth Proportional to 8,425.81, 12,640.34 and 3,231.28

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Solution

The fourth proportional to 8,425.81, 12,640.34 and 3,231.28 is: 4,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.81 : 12,640.34 = 3,231.28 : x
  2. Step 2: Convert to fraction form
    8,425.81/12,640.34 = 3,231.28/x
  3. Step 3: Cross multiply
    8,425.81x = 12,640.34 × 3,231.28
  4. Step 4: Simplify right side
    8,425.81x = 40,844,483.54
  5. Step 5: Solve for x
    x = 40,844,483.54/8,425.81
  6. Step 6: Final answer
    x = 4,847.54

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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.