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Finding the Fourth Proportional to 2,666.92, 4,000.38 and 1,279.96

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Solution

The fourth proportional to 2,666.92, 4,000.38 and 1,279.96 is: 1,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.92 : 4,000.38 = 1,279.96 : x
  2. Step 2: Convert to fraction form
    2,666.92/4,000.38 = 1,279.96/x
  3. Step 3: Cross multiply
    2,666.92x = 4,000.38 × 1,279.96
  4. Step 4: Simplify right side
    2,666.92x = 5,120,326.38
  5. Step 5: Solve for x
    x = 5,120,326.38/2,666.92
  6. Step 6: Final answer
    x = 1,919.94

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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.