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Finding the Fourth Proportional to 8,589.55, 12,884.84 and 2,667

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Solution

The fourth proportional to 8,589.55, 12,884.84 and 2,667 is: 4,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.55 : 12,884.84 = 2,667 : x
  2. Step 2: Convert to fraction form
    8,589.55/12,884.84 = 2,667/x
  3. Step 3: Cross multiply
    8,589.55x = 12,884.84 × 2,667
  4. Step 4: Simplify right side
    8,589.55x = 34,363,868.28
  5. Step 5: Solve for x
    x = 34,363,868.28/8,589.55
  6. Step 6: Final answer
    x = 4,000.66

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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.