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Finding the Fourth Proportional to 27,814, 41,721 and 18,472.27

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Solution

The fourth proportional to 27,814, 41,721 and 18,472.27 is: 27,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 41,721 = 18,472.27 : x
  2. Step 2: Convert to fraction form
    27,814/41,721 = 18,472.27/x
  3. Step 3: Cross multiply
    27,814x = 41,721 × 18,472.27
  4. Step 4: Simplify right side
    27,814x = 770,681,576.67
  5. Step 5: Solve for x
    x = 770,681,576.67/27,814
  6. Step 6: Final answer
    x = 27,708.41

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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.