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Finding the Fourth Proportional to 6,109, 9,163.50 and 2,005

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Solution

The fourth proportional to 6,109, 9,163.50 and 2,005 is: 3,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 9,163.50 = 2,005 : x
  2. Step 2: Convert to fraction form
    6,109/9,163.50 = 2,005/x
  3. Step 3: Cross multiply
    6,109x = 9,163.50 × 2,005
  4. Step 4: Simplify right side
    6,109x = 18,372,817.50
  5. Step 5: Solve for x
    x = 18,372,817.50/6,109
  6. Step 6: Final answer
    x = 3,007.50

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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.