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Finding the Fourth Proportional to 2,279.06, 3,425 and 1,354.78

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Solution

The fourth proportional to 2,279.06, 3,425 and 1,354.78 is: 2,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.06 : 3,425 = 1,354.78 : x
  2. Step 2: Convert to fraction form
    2,279.06/3,425 = 1,354.78/x
  3. Step 3: Cross multiply
    2,279.06x = 3,425 × 1,354.78
  4. Step 4: Simplify right side
    2,279.06x = 4,640,121.50
  5. Step 5: Solve for x
    x = 4,640,121.50/2,279.06
  6. Step 6: Final answer
    x = 2,035.98

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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.