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Finding the Fourth Proportional to 8,531.75, 12,793.16 and 2,686.79

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Solution

The fourth proportional to 8,531.75, 12,793.16 and 2,686.79 is: 4,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.75 : 12,793.16 = 2,686.79 : x
  2. Step 2: Convert to fraction form
    8,531.75/12,793.16 = 2,686.79/x
  3. Step 3: Cross multiply
    8,531.75x = 12,793.16 × 2,686.79
  4. Step 4: Simplify right side
    8,531.75x = 34,372,534.36
  5. Step 5: Solve for x
    x = 34,372,534.36/8,531.75
  6. Step 6: Final answer
    x = 4,028.78

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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.