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Finding the Fourth Proportional to 18,613.28, 27,921.12 and 8,225

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Solution

The fourth proportional to 18,613.28, 27,921.12 and 8,225 is: 12,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.28 : 27,921.12 = 8,225 : x
  2. Step 2: Convert to fraction form
    18,613.28/27,921.12 = 8,225/x
  3. Step 3: Cross multiply
    18,613.28x = 27,921.12 × 8,225
  4. Step 4: Simplify right side
    18,613.28x = 229,651,212
  5. Step 5: Solve for x
    x = 229,651,212/18,613.28
  6. Step 6: Final answer
    x = 12,338.03

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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.