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Finding the Fourth Proportional to 3,279.97, 4,919.96 and 2,897.25

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Solution

The fourth proportional to 3,279.97, 4,919.96 and 2,897.25 is: 4,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.97 : 4,919.96 = 2,897.25 : x
  2. Step 2: Convert to fraction form
    3,279.97/4,919.96 = 2,897.25/x
  3. Step 3: Cross multiply
    3,279.97x = 4,919.96 × 2,897.25
  4. Step 4: Simplify right side
    3,279.97x = 14,254,354.11
  5. Step 5: Solve for x
    x = 14,254,354.11/3,279.97
  6. Step 6: Final answer
    x = 4,345.88

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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.