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Finding the Fourth Proportional to 8,806, 13,199.69 and 3,255.78

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Solution

The fourth proportional to 8,806, 13,199.69 and 3,255.78 is: 4,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806 : 13,199.69 = 3,255.78 : x
  2. Step 2: Convert to fraction form
    8,806/13,199.69 = 3,255.78/x
  3. Step 3: Cross multiply
    8,806x = 13,199.69 × 3,255.78
  4. Step 4: Simplify right side
    8,806x = 42,975,286.71
  5. Step 5: Solve for x
    x = 42,975,286.71/8,806
  6. Step 6: Final answer
    x = 4,880.23

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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.