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Finding the Fourth Proportional to 38,083.60, 57,139.09 and 17,021.88

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Solution

The fourth proportional to 38,083.60, 57,139.09 and 17,021.88 is: 25,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.60 : 57,139.09 = 17,021.88 : x
  2. Step 2: Convert to fraction form
    38,083.60/57,139.09 = 17,021.88/x
  3. Step 3: Cross multiply
    38,083.60x = 57,139.09 × 17,021.88
  4. Step 4: Simplify right side
    38,083.60x = 972,614,690.73
  5. Step 5: Solve for x
    x = 972,614,690.73/38,083.60
  6. Step 6: Final answer
    x = 25,538.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.