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Finding the Fourth Proportional to 27,443, 37,872 and 16,826.48

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Solution

The fourth proportional to 27,443, 37,872 and 16,826.48 is: 23,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443 : 37,872 = 16,826.48 : x
  2. Step 2: Convert to fraction form
    27,443/37,872 = 16,826.48/x
  3. Step 3: Cross multiply
    27,443x = 37,872 × 16,826.48
  4. Step 4: Simplify right side
    27,443x = 637,252,450.56
  5. Step 5: Solve for x
    x = 637,252,450.56/27,443
  6. Step 6: Final answer
    x = 23,220.95

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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.