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Finding the Fourth Proportional to 8,108.44, 12,143.06 and 3,938.15

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Solution

The fourth proportional to 8,108.44, 12,143.06 and 3,938.15 is: 5,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.44 : 12,143.06 = 3,938.15 : x
  2. Step 2: Convert to fraction form
    8,108.44/12,143.06 = 3,938.15/x
  3. Step 3: Cross multiply
    8,108.44x = 12,143.06 × 3,938.15
  4. Step 4: Simplify right side
    8,108.44x = 47,821,239.33
  5. Step 5: Solve for x
    x = 47,821,239.33/8,108.44
  6. Step 6: Final answer
    x = 5,897.71

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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.