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Finding the Fourth Proportional to 2,135.97, 3,202.15 and 819.01

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Solution

The fourth proportional to 2,135.97, 3,202.15 and 819.01 is: 1,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.97 : 3,202.15 = 819.01 : x
  2. Step 2: Convert to fraction form
    2,135.97/3,202.15 = 819.01/x
  3. Step 3: Cross multiply
    2,135.97x = 3,202.15 × 819.01
  4. Step 4: Simplify right side
    2,135.97x = 2,622,596.36
  5. Step 5: Solve for x
    x = 2,622,596.36/2,135.97
  6. Step 6: Final answer
    x = 1,227.82

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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.