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Finding the Fourth Proportional to 12,589, 18,883.90 and 3,823.99

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Solution

The fourth proportional to 12,589, 18,883.90 and 3,823.99 is: 5,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 18,883.90 = 3,823.99 : x
  2. Step 2: Convert to fraction form
    12,589/18,883.90 = 3,823.99/x
  3. Step 3: Cross multiply
    12,589x = 18,883.90 × 3,823.99
  4. Step 4: Simplify right side
    12,589x = 72,211,844.76
  5. Step 5: Solve for x
    x = 72,211,844.76/12,589
  6. Step 6: Final answer
    x = 5,736.11

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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.