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Finding the Fourth Proportional to 17,221.80, 25,825 and 4,906.92

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Solution

The fourth proportional to 17,221.80, 25,825 and 4,906.92 is: 7,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.80 : 25,825 = 4,906.92 : x
  2. Step 2: Convert to fraction form
    17,221.80/25,825 = 4,906.92/x
  3. Step 3: Cross multiply
    17,221.80x = 25,825 × 4,906.92
  4. Step 4: Simplify right side
    17,221.80x = 126,721,209
  5. Step 5: Solve for x
    x = 126,721,209/17,221.80
  6. Step 6: Final answer
    x = 7,358.19

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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.