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Finding the Fourth Proportional to 19,221.97, 28,837.82 and 5,370.97

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Solution

The fourth proportional to 19,221.97, 28,837.82 and 5,370.97 is: 8,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.97 : 28,837.82 = 5,370.97 : x
  2. Step 2: Convert to fraction form
    19,221.97/28,837.82 = 5,370.97/x
  3. Step 3: Cross multiply
    19,221.97x = 28,837.82 × 5,370.97
  4. Step 4: Simplify right side
    19,221.97x = 154,887,039.23
  5. Step 5: Solve for x
    x = 154,887,039.23/19,221.97
  6. Step 6: Final answer
    x = 8,057.81

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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.