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Finding the Fourth Proportional to 3,473.75, 5,208.60 and 1,829.90

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Solution

The fourth proportional to 3,473.75, 5,208.60 and 1,829.90 is: 2,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.75 : 5,208.60 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    3,473.75/5,208.60 = 1,829.90/x
  3. Step 3: Cross multiply
    3,473.75x = 5,208.60 × 1,829.90
  4. Step 4: Simplify right side
    3,473.75x = 9,531,217.14
  5. Step 5: Solve for x
    x = 9,531,217.14/3,473.75
  6. Step 6: Final answer
    x = 2,743.78

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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.