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Finding the Fourth Proportional to 20,806.99, 31,204 and 6,952.75

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Solution

The fourth proportional to 20,806.99, 31,204 and 6,952.75 is: 10,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.99 : 31,204 = 6,952.75 : x
  2. Step 2: Convert to fraction form
    20,806.99/31,204 = 6,952.75/x
  3. Step 3: Cross multiply
    20,806.99x = 31,204 × 6,952.75
  4. Step 4: Simplify right side
    20,806.99x = 216,953,611
  5. Step 5: Solve for x
    x = 216,953,611/20,806.99
  6. Step 6: Final answer
    x = 10,426.96

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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.