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Finding the Fourth Proportional to 2,287.22, 3,429.86 and 987.75

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Solution

The fourth proportional to 2,287.22, 3,429.86 and 987.75 is: 1,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.22 : 3,429.86 = 987.75 : x
  2. Step 2: Convert to fraction form
    2,287.22/3,429.86 = 987.75/x
  3. Step 3: Cross multiply
    2,287.22x = 3,429.86 × 987.75
  4. Step 4: Simplify right side
    2,287.22x = 3,387,839.28
  5. Step 5: Solve for x
    x = 3,387,839.28/2,287.22
  6. Step 6: Final answer
    x = 1,481.21

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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.