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Finding the Fourth Proportional to 2,067.63, 3,100.80 and 680.66

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Solution

The fourth proportional to 2,067.63, 3,100.80 and 680.66 is: 1,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.63 : 3,100.80 = 680.66 : x
  2. Step 2: Convert to fraction form
    2,067.63/3,100.80 = 680.66/x
  3. Step 3: Cross multiply
    2,067.63x = 3,100.80 × 680.66
  4. Step 4: Simplify right side
    2,067.63x = 2,110,575.02
  5. Step 5: Solve for x
    x = 2,110,575.02/2,067.63
  6. Step 6: Final answer
    x = 1,020.77

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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.