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Finding the Fourth Proportional to 21,504, 32,256 and 6,912

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Solution

The fourth proportional to 21,504, 32,256 and 6,912 is: 10,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504 : 32,256 = 6,912 : x
  2. Step 2: Convert to fraction form
    21,504/32,256 = 6,912/x
  3. Step 3: Cross multiply
    21,504x = 32,256 × 6,912
  4. Step 4: Simplify right side
    21,504x = 222,953,472
  5. Step 5: Solve for x
    x = 222,953,472/21,504
  6. Step 6: Final answer
    x = 10,368

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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.