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Finding the Fourth Proportional to 3,895.26, 5,361.82 and 3,397

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Solution

The fourth proportional to 3,895.26, 5,361.82 and 3,397 is: 4,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.26 : 5,361.82 = 3,397 : x
  2. Step 2: Convert to fraction form
    3,895.26/5,361.82 = 3,397/x
  3. Step 3: Cross multiply
    3,895.26x = 5,361.82 × 3,397
  4. Step 4: Simplify right side
    3,895.26x = 18,214,102.54
  5. Step 5: Solve for x
    x = 18,214,102.54/3,895.26
  6. Step 6: Final answer
    x = 4,675.97

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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.