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Finding the Fourth Proportional to 19,829.80, 29,713.11 and 10,469.44

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Solution

The fourth proportional to 19,829.80, 29,713.11 and 10,469.44 is: 15,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.80 : 29,713.11 = 10,469.44 : x
  2. Step 2: Convert to fraction form
    19,829.80/29,713.11 = 10,469.44/x
  3. Step 3: Cross multiply
    19,829.80x = 29,713.11 × 10,469.44
  4. Step 4: Simplify right side
    19,829.80x = 311,079,622.36
  5. Step 5: Solve for x
    x = 311,079,622.36/19,829.80
  6. Step 6: Final answer
    x = 15,687.48

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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.