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Finding the Fourth Proportional to 38,760, 53,489.44 and 21,096

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Solution

The fourth proportional to 38,760, 53,489.44 and 21,096 is: 29,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,760 : 53,489.44 = 21,096 : x
  2. Step 2: Convert to fraction form
    38,760/53,489.44 = 21,096/x
  3. Step 3: Cross multiply
    38,760x = 53,489.44 × 21,096
  4. Step 4: Simplify right side
    38,760x = 1,128,413,226.24
  5. Step 5: Solve for x
    x = 1,128,413,226.24/38,760
  6. Step 6: Final answer
    x = 29,112.83

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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.