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Finding the Fourth Proportional to 2,987.27, 4,481.16 and 796

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Solution

The fourth proportional to 2,987.27, 4,481.16 and 796 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.27 : 4,481.16 = 796 : x
  2. Step 2: Convert to fraction form
    2,987.27/4,481.16 = 796/x
  3. Step 3: Cross multiply
    2,987.27x = 4,481.16 × 796
  4. Step 4: Simplify right side
    2,987.27x = 3,567,003.36
  5. Step 5: Solve for x
    x = 3,567,003.36/2,987.27
  6. Step 6: Final answer
    x = 1,194.07

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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.