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Finding the Fourth Proportional to 2,743, 4,114.04 and 987.65

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Solution

The fourth proportional to 2,743, 4,114.04 and 987.65 is: 1,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743 : 4,114.04 = 987.65 : x
  2. Step 2: Convert to fraction form
    2,743/4,114.04 = 987.65/x
  3. Step 3: Cross multiply
    2,743x = 4,114.04 × 987.65
  4. Step 4: Simplify right side
    2,743x = 4,063,231.61
  5. Step 5: Solve for x
    x = 4,063,231.61/2,743
  6. Step 6: Final answer
    x = 1,481.31

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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.