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Finding the Fourth Proportional to 13,936, 20,904 and 5,728

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Solution

The fourth proportional to 13,936, 20,904 and 5,728 is: 8,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 20,904 = 5,728 : x
  2. Step 2: Convert to fraction form
    13,936/20,904 = 5,728/x
  3. Step 3: Cross multiply
    13,936x = 20,904 × 5,728
  4. Step 4: Simplify right side
    13,936x = 119,738,112
  5. Step 5: Solve for x
    x = 119,738,112/13,936
  6. Step 6: Final answer
    x = 8,592

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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.