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Finding the Fourth Proportional to 19,882.80, 29,806.20 and 10,984.56

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Solution

The fourth proportional to 19,882.80, 29,806.20 and 10,984.56 is: 16,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.80 : 29,806.20 = 10,984.56 : x
  2. Step 2: Convert to fraction form
    19,882.80/29,806.20 = 10,984.56/x
  3. Step 3: Cross multiply
    19,882.80x = 29,806.20 × 10,984.56
  4. Step 4: Simplify right side
    19,882.80x = 327,407,992.27
  5. Step 5: Solve for x
    x = 327,407,992.27/19,882.80
  6. Step 6: Final answer
    x = 16,466.90

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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.