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Finding the Fourth Proportional to 19,922.22, 27,490.38 and 11,422

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Solution

The fourth proportional to 19,922.22, 27,490.38 and 11,422 is: 15,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.22 : 27,490.38 = 11,422 : x
  2. Step 2: Convert to fraction form
    19,922.22/27,490.38 = 11,422/x
  3. Step 3: Cross multiply
    19,922.22x = 27,490.38 × 11,422
  4. Step 4: Simplify right side
    19,922.22x = 313,995,120.36
  5. Step 5: Solve for x
    x = 313,995,120.36/19,922.22
  6. Step 6: Final answer
    x = 15,761.05

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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.