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Finding the Fourth Proportional to 6,906.38, 10,361.21 and 2,289.38

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Solution

The fourth proportional to 6,906.38, 10,361.21 and 2,289.38 is: 3,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.38 : 10,361.21 = 2,289.38 : x
  2. Step 2: Convert to fraction form
    6,906.38/10,361.21 = 2,289.38/x
  3. Step 3: Cross multiply
    6,906.38x = 10,361.21 × 2,289.38
  4. Step 4: Simplify right side
    6,906.38x = 23,720,683.70
  5. Step 5: Solve for x
    x = 23,720,683.70/6,906.38
  6. Step 6: Final answer
    x = 3,434.61

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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.