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Finding the Fourth Proportional to 2,067.91, 3,101.06 and 680.99

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Solution

The fourth proportional to 2,067.91, 3,101.06 and 680.99 is: 1,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.91 : 3,101.06 = 680.99 : x
  2. Step 2: Convert to fraction form
    2,067.91/3,101.06 = 680.99/x
  3. Step 3: Cross multiply
    2,067.91x = 3,101.06 × 680.99
  4. Step 4: Simplify right side
    2,067.91x = 2,111,777.05
  5. Step 5: Solve for x
    x = 2,111,777.05/2,067.91
  6. Step 6: Final answer
    x = 1,021.21

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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.