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Finding the Fourth Proportional to 9,105.46, 13,661.46 and 3,183.21

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Solution

The fourth proportional to 9,105.46, 13,661.46 and 3,183.21 is: 4,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.46 : 13,661.46 = 3,183.21 : x
  2. Step 2: Convert to fraction form
    9,105.46/13,661.46 = 3,183.21/x
  3. Step 3: Cross multiply
    9,105.46x = 13,661.46 × 3,183.21
  4. Step 4: Simplify right side
    9,105.46x = 43,487,296.09
  5. Step 5: Solve for x
    x = 43,487,296.09/9,105.46
  6. Step 6: Final answer
    x = 4,775.96

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1.5x scale

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.