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Finding the Fourth Proportional to 2,751.62, 4,128.79 and 1,290.88

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Solution

The fourth proportional to 2,751.62, 4,128.79 and 1,290.88 is: 1,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.62 : 4,128.79 = 1,290.88 : x
  2. Step 2: Convert to fraction form
    2,751.62/4,128.79 = 1,290.88/x
  3. Step 3: Cross multiply
    2,751.62x = 4,128.79 × 1,290.88
  4. Step 4: Simplify right side
    2,751.62x = 5,329,772.44
  5. Step 5: Solve for x
    x = 5,329,772.44/2,751.62
  6. Step 6: Final answer
    x = 1,936.96

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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.