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Finding the Fourth Proportional to 18,617.78, 27,927.90 and 8,229.50

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Solution

The fourth proportional to 18,617.78, 27,927.90 and 8,229.50 is: 12,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.78 : 27,927.90 = 8,229.50 : x
  2. Step 2: Convert to fraction form
    18,617.78/27,927.90 = 8,229.50/x
  3. Step 3: Cross multiply
    18,617.78x = 27,927.90 × 8,229.50
  4. Step 4: Simplify right side
    18,617.78x = 229,832,653.05
  5. Step 5: Solve for x
    x = 229,832,653.05/18,617.78
  6. Step 6: Final answer
    x = 12,344.79

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1.5x scale

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.