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Finding the Fourth Proportional to 7,865.97, 11,799.69 and 2,601

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Solution

The fourth proportional to 7,865.97, 11,799.69 and 2,601 is: 3,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.97 : 11,799.69 = 2,601 : x
  2. Step 2: Convert to fraction form
    7,865.97/11,799.69 = 2,601/x
  3. Step 3: Cross multiply
    7,865.97x = 11,799.69 × 2,601
  4. Step 4: Simplify right side
    7,865.97x = 30,690,993.69
  5. Step 5: Solve for x
    x = 30,690,993.69/7,865.97
  6. Step 6: Final answer
    x = 3,901.74

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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.