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Finding the Fourth Proportional to 21,144.75, 31,717.13 and 7,293.75

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Solution

The fourth proportional to 21,144.75, 31,717.13 and 7,293.75 is: 10,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.75 : 31,717.13 = 7,293.75 : x
  2. Step 2: Convert to fraction form
    21,144.75/31,717.13 = 7,293.75/x
  3. Step 3: Cross multiply
    21,144.75x = 31,717.13 × 7,293.75
  4. Step 4: Simplify right side
    21,144.75x = 231,336,780.47
  5. Step 5: Solve for x
    x = 231,336,780.47/21,144.75
  6. Step 6: Final answer
    x = 10,940.63

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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.