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Finding the Fourth Proportional to 18,640.81, 27,961.07 and 5,492.99

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Solution

The fourth proportional to 18,640.81, 27,961.07 and 5,492.99 is: 8,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.81 : 27,961.07 = 5,492.99 : x
  2. Step 2: Convert to fraction form
    18,640.81/27,961.07 = 5,492.99/x
  3. Step 3: Cross multiply
    18,640.81x = 27,961.07 × 5,492.99
  4. Step 4: Simplify right side
    18,640.81x = 153,589,850.43
  5. Step 5: Solve for x
    x = 153,589,850.43/18,640.81
  6. Step 6: Final answer
    x = 8,239.44

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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.