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Finding the Fourth Proportional to 8,586, 12,880.62 and 3,969

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Solution

The fourth proportional to 8,586, 12,880.62 and 3,969 is: 5,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,880.62 = 3,969 : x
  2. Step 2: Convert to fraction form
    8,586/12,880.62 = 3,969/x
  3. Step 3: Cross multiply
    8,586x = 12,880.62 × 3,969
  4. Step 4: Simplify right side
    8,586x = 51,123,180.78
  5. Step 5: Solve for x
    x = 51,123,180.78/8,586
  6. Step 6: Final answer
    x = 5,954.25

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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.