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Finding the Fourth Proportional to 38,205.57, 57,295.38 and 13,239.79

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Solution

The fourth proportional to 38,205.57, 57,295.38 and 13,239.79 is: 19,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.57 : 57,295.38 = 13,239.79 : x
  2. Step 2: Convert to fraction form
    38,205.57/57,295.38 = 13,239.79/x
  3. Step 3: Cross multiply
    38,205.57x = 57,295.38 × 13,239.79
  4. Step 4: Simplify right side
    38,205.57x = 758,578,705.58
  5. Step 5: Solve for x
    x = 758,578,705.58/38,205.57
  6. Step 6: Final answer
    x = 19,855.18

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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.