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Finding the Fourth Proportional to 12,696, 17,520.48 and 7,728

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Solution

The fourth proportional to 12,696, 17,520.48 and 7,728 is: 10,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 17,520.48 = 7,728 : x
  2. Step 2: Convert to fraction form
    12,696/17,520.48 = 7,728/x
  3. Step 3: Cross multiply
    12,696x = 17,520.48 × 7,728
  4. Step 4: Simplify right side
    12,696x = 135,398,269.44
  5. Step 5: Solve for x
    x = 135,398,269.44/12,696
  6. Step 6: Final answer
    x = 10,664.64

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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.