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Finding the Fourth Proportional to 27,809, 41,720.22 and 11,393

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Solution

The fourth proportional to 27,809, 41,720.22 and 11,393 is: 17,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809 : 41,720.22 = 11,393 : x
  2. Step 2: Convert to fraction form
    27,809/41,720.22 = 11,393/x
  3. Step 3: Cross multiply
    27,809x = 41,720.22 × 11,393
  4. Step 4: Simplify right side
    27,809x = 475,318,466.46
  5. Step 5: Solve for x
    x = 475,318,466.46/27,809
  6. Step 6: Final answer
    x = 17,092.25

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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.