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Finding the Fourth Proportional to 12,017, 18,025.50 and 3,809

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Solution

The fourth proportional to 12,017, 18,025.50 and 3,809 is: 5,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017 : 18,025.50 = 3,809 : x
  2. Step 2: Convert to fraction form
    12,017/18,025.50 = 3,809/x
  3. Step 3: Cross multiply
    12,017x = 18,025.50 × 3,809
  4. Step 4: Simplify right side
    12,017x = 68,659,129.50
  5. Step 5: Solve for x
    x = 68,659,129.50/12,017
  6. Step 6: Final answer
    x = 5,713.50

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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.