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Finding the Fourth Proportional to 2,891.88, 4,338 and 2,744.28

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Solution

The fourth proportional to 2,891.88, 4,338 and 2,744.28 is: 4,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.88 : 4,338 = 2,744.28 : x
  2. Step 2: Convert to fraction form
    2,891.88/4,338 = 2,744.28/x
  3. Step 3: Cross multiply
    2,891.88x = 4,338 × 2,744.28
  4. Step 4: Simplify right side
    2,891.88x = 11,904,686.64
  5. Step 5: Solve for x
    x = 11,904,686.64/2,891.88
  6. Step 6: Final answer
    x = 4,116.59

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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.