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Finding the Fourth Proportional to 8,817, 13,227.70 and 2,661

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Solution

The fourth proportional to 8,817, 13,227.70 and 2,661 is: 3,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817 : 13,227.70 = 2,661 : x
  2. Step 2: Convert to fraction form
    8,817/13,227.70 = 2,661/x
  3. Step 3: Cross multiply
    8,817x = 13,227.70 × 2,661
  4. Step 4: Simplify right side
    8,817x = 35,198,909.70
  5. Step 5: Solve for x
    x = 35,198,909.70/8,817
  6. Step 6: Final answer
    x = 3,992.16

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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.