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Finding the Fourth Proportional to 18,382.67, 27,583.11 and 7,289.12

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Solution

The fourth proportional to 18,382.67, 27,583.11 and 7,289.12 is: 10,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.67 : 27,583.11 = 7,289.12 : x
  2. Step 2: Convert to fraction form
    18,382.67/27,583.11 = 7,289.12/x
  3. Step 3: Cross multiply
    18,382.67x = 27,583.11 × 7,289.12
  4. Step 4: Simplify right side
    18,382.67x = 201,056,460.85
  5. Step 5: Solve for x
    x = 201,056,460.85/18,382.67
  6. Step 6: Final answer
    x = 10,937.29

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Why These Related Problems?

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