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Finding the Fourth Proportional to 8,365.75, 12,540.46 and 3,982.03

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Solution

The fourth proportional to 8,365.75, 12,540.46 and 3,982.03 is: 5,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.75 : 12,540.46 = 3,982.03 : x
  2. Step 2: Convert to fraction form
    8,365.75/12,540.46 = 3,982.03/x
  3. Step 3: Cross multiply
    8,365.75x = 12,540.46 × 3,982.03
  4. Step 4: Simplify right side
    8,365.75x = 49,936,461.56
  5. Step 5: Solve for x
    x = 49,936,461.56/8,365.75
  6. Step 6: Final answer
    x = 5,969.16

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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.