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Finding the Fourth Proportional to 2,067.07, 3,101.82 and 768.64

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Solution

The fourth proportional to 2,067.07, 3,101.82 and 768.64 is: 1,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.07 : 3,101.82 = 768.64 : x
  2. Step 2: Convert to fraction form
    2,067.07/3,101.82 = 768.64/x
  3. Step 3: Cross multiply
    2,067.07x = 3,101.82 × 768.64
  4. Step 4: Simplify right side
    2,067.07x = 2,384,182.92
  5. Step 5: Solve for x
    x = 2,384,182.92/2,067.07
  6. Step 6: Final answer
    x = 1,153.41

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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.