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Finding the Fourth Proportional to 12,800, 17,664 and 6,912

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Solution

The fourth proportional to 12,800, 17,664 and 6,912 is: 9,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 17,664 = 6,912 : x
  2. Step 2: Convert to fraction form
    12,800/17,664 = 6,912/x
  3. Step 3: Cross multiply
    12,800x = 17,664 × 6,912
  4. Step 4: Simplify right side
    12,800x = 122,093,568
  5. Step 5: Solve for x
    x = 122,093,568/12,800
  6. Step 6: Final answer
    x = 9,538.56

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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.