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Finding the Fourth Proportional to 21,755, 30,021.90 and 11,819

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Solution

The fourth proportional to 21,755, 30,021.90 and 11,819 is: 16,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755 : 30,021.90 = 11,819 : x
  2. Step 2: Convert to fraction form
    21,755/30,021.90 = 11,819/x
  3. Step 3: Cross multiply
    21,755x = 30,021.90 × 11,819
  4. Step 4: Simplify right side
    21,755x = 354,828,836.10
  5. Step 5: Solve for x
    x = 354,828,836.10/21,755
  6. Step 6: Final answer
    x = 16,310.22

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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.