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Finding the Fourth Proportional to 2,067.90, 3,099.09 and 768.06

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Solution

The fourth proportional to 2,067.90, 3,099.09 and 768.06 is: 1,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.90 : 3,099.09 = 768.06 : x
  2. Step 2: Convert to fraction form
    2,067.90/3,099.09 = 768.06/x
  3. Step 3: Cross multiply
    2,067.90x = 3,099.09 × 768.06
  4. Step 4: Simplify right side
    2,067.90x = 2,380,287.07
  5. Step 5: Solve for x
    x = 2,380,287.07/2,067.90
  6. Step 6: Final answer
    x = 1,151.06

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1.5x scale

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.