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Finding the Fourth Proportional to 18,431.94, 27,647 and 6,744.25

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Solution

The fourth proportional to 18,431.94, 27,647 and 6,744.25 is: 10,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.94 : 27,647 = 6,744.25 : x
  2. Step 2: Convert to fraction form
    18,431.94/27,647 = 6,744.25/x
  3. Step 3: Cross multiply
    18,431.94x = 27,647 × 6,744.25
  4. Step 4: Simplify right side
    18,431.94x = 186,458,279.75
  5. Step 5: Solve for x
    x = 186,458,279.75/18,431.94
  6. Step 6: Final answer
    x = 10,116.04

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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.