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Finding the Fourth Proportional to 8,105.65, 12,163.94 and 3,174.67

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Solution

The fourth proportional to 8,105.65, 12,163.94 and 3,174.67 is: 4,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.65 : 12,163.94 = 3,174.67 : x
  2. Step 2: Convert to fraction form
    8,105.65/12,163.94 = 3,174.67/x
  3. Step 3: Cross multiply
    8,105.65x = 12,163.94 × 3,174.67
  4. Step 4: Simplify right side
    8,105.65x = 38,616,506.64
  5. Step 5: Solve for x
    x = 38,616,506.64/8,105.65
  6. Step 6: Final answer
    x = 4,764.15

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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.