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Finding the Fourth Proportional to 6,767.75, 10,149.45 and 2,149.67

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Solution

The fourth proportional to 6,767.75, 10,149.45 and 2,149.67 is: 3,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.75 : 10,149.45 = 2,149.67 : x
  2. Step 2: Convert to fraction form
    6,767.75/10,149.45 = 2,149.67/x
  3. Step 3: Cross multiply
    6,767.75x = 10,149.45 × 2,149.67
  4. Step 4: Simplify right side
    6,767.75x = 21,817,917.43
  5. Step 5: Solve for x
    x = 21,817,917.43/6,767.75
  6. Step 6: Final answer
    x = 3,223.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.