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Finding the Fourth Proportional to 18,153.20, 27,205.57 and 9,702.38

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Solution

The fourth proportional to 18,153.20, 27,205.57 and 9,702.38 is: 14,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,153.20 : 27,205.57 = 9,702.38 : x
  2. Step 2: Convert to fraction form
    18,153.20/27,205.57 = 9,702.38/x
  3. Step 3: Cross multiply
    18,153.20x = 27,205.57 × 9,702.38
  4. Step 4: Simplify right side
    18,153.20x = 263,958,593.72
  5. Step 5: Solve for x
    x = 263,958,593.72/18,153.20
  6. Step 6: Final answer
    x = 14,540.61

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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.