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Finding the Fourth Proportional to 2,261.97, 3,393.09 and 801.09

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Solution

The fourth proportional to 2,261.97, 3,393.09 and 801.09 is: 1,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.97 : 3,393.09 = 801.09 : x
  2. Step 2: Convert to fraction form
    2,261.97/3,393.09 = 801.09/x
  3. Step 3: Cross multiply
    2,261.97x = 3,393.09 × 801.09
  4. Step 4: Simplify right side
    2,261.97x = 2,718,170.47
  5. Step 5: Solve for x
    x = 2,718,170.47/2,261.97
  6. Step 6: Final answer
    x = 1,201.68

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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.