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Finding the Fourth Proportional to 6,640.40, 9,163.69 and 3,769.67

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Solution

The fourth proportional to 6,640.40, 9,163.69 and 3,769.67 is: 5,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.40 : 9,163.69 = 3,769.67 : x
  2. Step 2: Convert to fraction form
    6,640.40/9,163.69 = 3,769.67/x
  3. Step 3: Cross multiply
    6,640.40x = 9,163.69 × 3,769.67
  4. Step 4: Simplify right side
    6,640.40x = 34,544,100.77
  5. Step 5: Solve for x
    x = 34,544,100.77/6,640.40
  6. Step 6: Final answer
    x = 5,202.11

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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.