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Finding the Fourth Proportional to 20,266, 30,398.84 and 6,226

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Solution

The fourth proportional to 20,266, 30,398.84 and 6,226 is: 9,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266 : 30,398.84 = 6,226 : x
  2. Step 2: Convert to fraction form
    20,266/30,398.84 = 6,226/x
  3. Step 3: Cross multiply
    20,266x = 30,398.84 × 6,226
  4. Step 4: Simplify right side
    20,266x = 189,263,177.84
  5. Step 5: Solve for x
    x = 189,263,177.84/20,266
  6. Step 6: Final answer
    x = 9,338.95

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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.