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Finding the Fourth Proportional to 3,993.44, 5,511 and 2,225

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Solution

The fourth proportional to 3,993.44, 5,511 and 2,225 is: 3,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.44 : 5,511 = 2,225 : x
  2. Step 2: Convert to fraction form
    3,993.44/5,511 = 2,225/x
  3. Step 3: Cross multiply
    3,993.44x = 5,511 × 2,225
  4. Step 4: Simplify right side
    3,993.44x = 12,261,975
  5. Step 5: Solve for x
    x = 12,261,975/3,993.44
  6. Step 6: Final answer
    x = 3,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.