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Finding the Fourth Proportional to 2,067.63, 3,101.46 and 680.97

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Solution

The fourth proportional to 2,067.63, 3,101.46 and 680.97 is: 1,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.63 : 3,101.46 = 680.97 : x
  2. Step 2: Convert to fraction form
    2,067.63/3,101.46 = 680.97/x
  3. Step 3: Cross multiply
    2,067.63x = 3,101.46 × 680.97
  4. Step 4: Simplify right side
    2,067.63x = 2,112,001.22
  5. Step 5: Solve for x
    x = 2,112,001.22/2,067.63
  6. Step 6: Final answer
    x = 1,021.46

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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.