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Finding the Fourth Proportional to 21,696, 29,940.50 and 11,760

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Solution

The fourth proportional to 21,696, 29,940.50 and 11,760 is: 16,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696 : 29,940.50 = 11,760 : x
  2. Step 2: Convert to fraction form
    21,696/29,940.50 = 11,760/x
  3. Step 3: Cross multiply
    21,696x = 29,940.50 × 11,760
  4. Step 4: Simplify right side
    21,696x = 352,100,280
  5. Step 5: Solve for x
    x = 352,100,280/21,696
  6. Step 6: Final answer
    x = 16,228.81

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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.