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Finding the Fourth Proportional to 3,468.43, 5,200.11 and 1,277.20

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Solution

The fourth proportional to 3,468.43, 5,200.11 and 1,277.20 is: 1,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.43 : 5,200.11 = 1,277.20 : x
  2. Step 2: Convert to fraction form
    3,468.43/5,200.11 = 1,277.20/x
  3. Step 3: Cross multiply
    3,468.43x = 5,200.11 × 1,277.20
  4. Step 4: Simplify right side
    3,468.43x = 6,641,580.49
  5. Step 5: Solve for x
    x = 6,641,580.49/3,468.43
  6. Step 6: Final answer
    x = 1,914.87

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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.