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Finding the Fourth Proportional to 2,891.97, 4,341.60 and 2,738.88

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Solution

The fourth proportional to 2,891.97, 4,341.60 and 2,738.88 is: 4,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.97 : 4,341.60 = 2,738.88 : x
  2. Step 2: Convert to fraction form
    2,891.97/4,341.60 = 2,738.88/x
  3. Step 3: Cross multiply
    2,891.97x = 4,341.60 × 2,738.88
  4. Step 4: Simplify right side
    2,891.97x = 11,891,121.41
  5. Step 5: Solve for x
    x = 11,891,121.41/2,891.97
  6. Step 6: Final answer
    x = 4,111.77

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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.