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Finding the Fourth Proportional to 38,534.92, 57,795.08 and 12,239.88

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Solution

The fourth proportional to 38,534.92, 57,795.08 and 12,239.88 is: 18,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.92 : 57,795.08 = 12,239.88 : x
  2. Step 2: Convert to fraction form
    38,534.92/57,795.08 = 12,239.88/x
  3. Step 3: Cross multiply
    38,534.92x = 57,795.08 × 12,239.88
  4. Step 4: Simplify right side
    38,534.92x = 707,404,843.79
  5. Step 5: Solve for x
    x = 707,404,843.79/38,534.92
  6. Step 6: Final answer
    x = 18,357.50

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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.