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Finding the Fourth Proportional to 8,589, 12,885.12 and 3,972

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Solution

The fourth proportional to 8,589, 12,885.12 and 3,972 is: 5,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 12,885.12 = 3,972 : x
  2. Step 2: Convert to fraction form
    8,589/12,885.12 = 3,972/x
  3. Step 3: Cross multiply
    8,589x = 12,885.12 × 3,972
  4. Step 4: Simplify right side
    8,589x = 51,179,696.64
  5. Step 5: Solve for x
    x = 51,179,696.64/8,589
  6. Step 6: Final answer
    x = 5,958.75

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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.