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Finding the Fourth Proportional to 2,540.03, 3,809.07 and 979.97

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Solution

The fourth proportional to 2,540.03, 3,809.07 and 979.97 is: 1,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.03 : 3,809.07 = 979.97 : x
  2. Step 2: Convert to fraction form
    2,540.03/3,809.07 = 979.97/x
  3. Step 3: Cross multiply
    2,540.03x = 3,809.07 × 979.97
  4. Step 4: Simplify right side
    2,540.03x = 3,732,755.28
  5. Step 5: Solve for x
    x = 3,732,755.28/2,540.03
  6. Step 6: Final answer
    x = 1,469.57

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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.