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Finding the Fourth Proportional to 3,327, 4,987.68 and 2,228

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Solution

The fourth proportional to 3,327, 4,987.68 and 2,228 is: 3,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327 : 4,987.68 = 2,228 : x
  2. Step 2: Convert to fraction form
    3,327/4,987.68 = 2,228/x
  3. Step 3: Cross multiply
    3,327x = 4,987.68 × 2,228
  4. Step 4: Simplify right side
    3,327x = 11,112,551.04
  5. Step 5: Solve for x
    x = 11,112,551.04/3,327
  6. Step 6: Final answer
    x = 3,340.11

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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.