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Finding the Fourth Proportional to 8,133.62, 12,200.42 and 3,203.75

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Solution

The fourth proportional to 8,133.62, 12,200.42 and 3,203.75 is: 4,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.62 : 12,200.42 = 3,203.75 : x
  2. Step 2: Convert to fraction form
    8,133.62/12,200.42 = 3,203.75/x
  3. Step 3: Cross multiply
    8,133.62x = 12,200.42 × 3,203.75
  4. Step 4: Simplify right side
    8,133.62x = 39,087,134.09
  5. Step 5: Solve for x
    x = 39,087,134.09/8,133.62
  6. Step 6: Final answer
    x = 4,805.63

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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.