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Finding the Fourth Proportional to 8,202.49, 12,304.95 and 3,203.88

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Solution

The fourth proportional to 8,202.49, 12,304.95 and 3,203.88 is: 4,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.49 : 12,304.95 = 3,203.88 : x
  2. Step 2: Convert to fraction form
    8,202.49/12,304.95 = 3,203.88/x
  3. Step 3: Cross multiply
    8,202.49x = 12,304.95 × 3,203.88
  4. Step 4: Simplify right side
    8,202.49x = 39,423,525.05
  5. Step 5: Solve for x
    x = 39,423,525.05/8,202.49
  6. Step 6: Final answer
    x = 4,806.29

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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.