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Finding the Fourth Proportional to 2,067, 2,852.43 and 1,122.78

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Solution

The fourth proportional to 2,067, 2,852.43 and 1,122.78 is: 1,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067 : 2,852.43 = 1,122.78 : x
  2. Step 2: Convert to fraction form
    2,067/2,852.43 = 1,122.78/x
  3. Step 3: Cross multiply
    2,067x = 2,852.43 × 1,122.78
  4. Step 4: Simplify right side
    2,067x = 3,202,651.36
  5. Step 5: Solve for x
    x = 3,202,651.36/2,067
  6. Step 6: Final answer
    x = 1,549.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.