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Finding the Fourth Proportional to 21,664, 29,896.32 and 11,728

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Solution

The fourth proportional to 21,664, 29,896.32 and 11,728 is: 16,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664 : 29,896.32 = 11,728 : x
  2. Step 2: Convert to fraction form
    21,664/29,896.32 = 11,728/x
  3. Step 3: Cross multiply
    21,664x = 29,896.32 × 11,728
  4. Step 4: Simplify right side
    21,664x = 350,624,040.96
  5. Step 5: Solve for x
    x = 350,624,040.96/21,664
  6. Step 6: Final answer
    x = 16,184.64

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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.