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Finding the Fourth Proportional to 8,323.64, 12,487.64 and 3,941

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Solution

The fourth proportional to 8,323.64, 12,487.64 and 3,941 is: 5,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.64 : 12,487.64 = 3,941 : x
  2. Step 2: Convert to fraction form
    8,323.64/12,487.64 = 3,941/x
  3. Step 3: Cross multiply
    8,323.64x = 12,487.64 × 3,941
  4. Step 4: Simplify right side
    8,323.64x = 49,213,789.24
  5. Step 5: Solve for x
    x = 49,213,789.24/8,323.64
  6. Step 6: Final answer
    x = 5,912.53

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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.