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Finding the Fourth Proportional to 21,204, 31,806 and 6,412.59

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Solution

The fourth proportional to 21,204, 31,806 and 6,412.59 is: 9,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204 : 31,806 = 6,412.59 : x
  2. Step 2: Convert to fraction form
    21,204/31,806 = 6,412.59/x
  3. Step 3: Cross multiply
    21,204x = 31,806 × 6,412.59
  4. Step 4: Simplify right side
    21,204x = 203,958,837.54
  5. Step 5: Solve for x
    x = 203,958,837.54/21,204
  6. Step 6: Final answer
    x = 9,618.89

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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.