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Finding the Fourth Proportional to 6,609.76, 9,912.70 and 2,661

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Solution

The fourth proportional to 6,609.76, 9,912.70 and 2,661 is: 3,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.76 : 9,912.70 = 2,661 : x
  2. Step 2: Convert to fraction form
    6,609.76/9,912.70 = 2,661/x
  3. Step 3: Cross multiply
    6,609.76x = 9,912.70 × 2,661
  4. Step 4: Simplify right side
    6,609.76x = 26,377,694.70
  5. Step 5: Solve for x
    x = 26,377,694.70/6,609.76
  6. Step 6: Final answer
    x = 3,990.72

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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.