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Finding the Fourth Proportional to 2,891, 4,338.42 and 1,067

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Solution

The fourth proportional to 2,891, 4,338.42 and 1,067 is: 1,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891 : 4,338.42 = 1,067 : x
  2. Step 2: Convert to fraction form
    2,891/4,338.42 = 1,067/x
  3. Step 3: Cross multiply
    2,891x = 4,338.42 × 1,067
  4. Step 4: Simplify right side
    2,891x = 4,629,094.14
  5. Step 5: Solve for x
    x = 4,629,094.14/2,891
  6. Step 6: Final answer
    x = 1,601.21

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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.