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Finding the Fourth Proportional to 6,766, 10,149.54 and 2,149

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Solution

The fourth proportional to 6,766, 10,149.54 and 2,149 is: 3,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 10,149.54 = 2,149 : x
  2. Step 2: Convert to fraction form
    6,766/10,149.54 = 2,149/x
  3. Step 3: Cross multiply
    6,766x = 10,149.54 × 2,149
  4. Step 4: Simplify right side
    6,766x = 21,811,361.46
  5. Step 5: Solve for x
    x = 21,811,361.46/6,766
  6. Step 6: Final answer
    x = 3,223.67

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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.