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Finding the Fourth Proportional to 9,450, 13,041 and 5,259.12

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Solution

The fourth proportional to 9,450, 13,041 and 5,259.12 is: 7,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 13,041 = 5,259.12 : x
  2. Step 2: Convert to fraction form
    9,450/13,041 = 5,259.12/x
  3. Step 3: Cross multiply
    9,450x = 13,041 × 5,259.12
  4. Step 4: Simplify right side
    9,450x = 68,584,183.92
  5. Step 5: Solve for x
    x = 68,584,183.92/9,450
  6. Step 6: Final answer
    x = 7,257.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.