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Finding the Fourth Proportional to 38,930, 53,723.46 and 22,163

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Solution

The fourth proportional to 38,930, 53,723.46 and 22,163 is: 30,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930 : 53,723.46 = 22,163 : x
  2. Step 2: Convert to fraction form
    38,930/53,723.46 = 22,163/x
  3. Step 3: Cross multiply
    38,930x = 53,723.46 × 22,163
  4. Step 4: Simplify right side
    38,930x = 1,190,673,043.98
  5. Step 5: Solve for x
    x = 1,190,673,043.98/38,930
  6. Step 6: Final answer
    x = 30,584.97

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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.