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Finding the Fourth Proportional to 38,813, 53,561.94 and 21,149

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Solution

The fourth proportional to 38,813, 53,561.94 and 21,149 is: 29,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813 : 53,561.94 = 21,149 : x
  2. Step 2: Convert to fraction form
    38,813/53,561.94 = 21,149/x
  3. Step 3: Cross multiply
    38,813x = 53,561.94 × 21,149
  4. Step 4: Simplify right side
    38,813x = 1,132,781,469.06
  5. Step 5: Solve for x
    x = 1,132,781,469.06/38,813
  6. Step 6: Final answer
    x = 29,185.62

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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.