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Finding the Fourth Proportional to 18,612.28, 27,919.62 and 8,224

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Solution

The fourth proportional to 18,612.28, 27,919.62 and 8,224 is: 12,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612.28 : 27,919.62 = 8,224 : x
  2. Step 2: Convert to fraction form
    18,612.28/27,919.62 = 8,224/x
  3. Step 3: Cross multiply
    18,612.28x = 27,919.62 × 8,224
  4. Step 4: Simplify right side
    18,612.28x = 229,610,954.88
  5. Step 5: Solve for x
    x = 229,610,954.88/18,612.28
  6. Step 6: Final answer
    x = 12,336.53

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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.