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Finding the Fourth Proportional to 3,380.75, 5,071.13 and 1,072.25

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Solution

The fourth proportional to 3,380.75, 5,071.13 and 1,072.25 is: 1,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.75 : 5,071.13 = 1,072.25 : x
  2. Step 2: Convert to fraction form
    3,380.75/5,071.13 = 1,072.25/x
  3. Step 3: Cross multiply
    3,380.75x = 5,071.13 × 1,072.25
  4. Step 4: Simplify right side
    3,380.75x = 5,437,513.78
  5. Step 5: Solve for x
    x = 5,437,513.78/3,380.75
  6. Step 6: Final answer
    x = 1,608.38

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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.