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Finding the Fourth Proportional to 18,202.87, 27,310.84 and 7,117.52

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Solution

The fourth proportional to 18,202.87, 27,310.84 and 7,117.52 is: 10,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.87 : 27,310.84 = 7,117.52 : x
  2. Step 2: Convert to fraction form
    18,202.87/27,310.84 = 7,117.52/x
  3. Step 3: Cross multiply
    18,202.87x = 27,310.84 × 7,117.52
  4. Step 4: Simplify right side
    18,202.87x = 194,385,295.57
  5. Step 5: Solve for x
    x = 194,385,295.57/18,202.87
  6. Step 6: Final answer
    x = 10,678.83

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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.