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Finding the Fourth Proportional to 21,751, 30,016.74 and 11,815

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Solution

The fourth proportional to 21,751, 30,016.74 and 11,815 is: 16,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751 : 30,016.74 = 11,815 : x
  2. Step 2: Convert to fraction form
    21,751/30,016.74 = 11,815/x
  3. Step 3: Cross multiply
    21,751x = 30,016.74 × 11,815
  4. Step 4: Simplify right side
    21,751x = 354,647,783.10
  5. Step 5: Solve for x
    x = 354,647,783.10/21,751
  6. Step 6: Final answer
    x = 16,304.90

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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.