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Finding the Fourth Proportional to 18,674, 25,770.12 and 11,222

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Solution

The fourth proportional to 18,674, 25,770.12 and 11,222 is: 15,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674 : 25,770.12 = 11,222 : x
  2. Step 2: Convert to fraction form
    18,674/25,770.12 = 11,222/x
  3. Step 3: Cross multiply
    18,674x = 25,770.12 × 11,222
  4. Step 4: Simplify right side
    18,674x = 289,192,286.64
  5. Step 5: Solve for x
    x = 289,192,286.64/18,674
  6. Step 6: Final answer
    x = 15,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.