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Finding the Fourth Proportional to 5,361.92, 7,391.36 and 3,944

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Solution

The fourth proportional to 5,361.92, 7,391.36 and 3,944 is: 5,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.92 : 7,391.36 = 3,944 : x
  2. Step 2: Convert to fraction form
    5,361.92/7,391.36 = 3,944/x
  3. Step 3: Cross multiply
    5,361.92x = 7,391.36 × 3,944
  4. Step 4: Simplify right side
    5,361.92x = 29,151,523.84
  5. Step 5: Solve for x
    x = 29,151,523.84/5,361.92
  6. Step 6: Final answer
    x = 5,436.77

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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.