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Finding the Fourth Proportional to 18,450, 27,679.32 and 6,138

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Solution

The fourth proportional to 18,450, 27,679.32 and 6,138 is: 9,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,450 : 27,679.32 = 6,138 : x
  2. Step 2: Convert to fraction form
    18,450/27,679.32 = 6,138/x
  3. Step 3: Cross multiply
    18,450x = 27,679.32 × 6,138
  4. Step 4: Simplify right side
    18,450x = 169,895,666.16
  5. Step 5: Solve for x
    x = 169,895,666.16/18,450
  6. Step 6: Final answer
    x = 9,208.44

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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.