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Finding the Fourth Proportional to 19,231.80, 28,871.10 and 12,211.80

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Solution

The fourth proportional to 19,231.80, 28,871.10 and 12,211.80 is: 18,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.80 : 28,871.10 = 12,211.80 : x
  2. Step 2: Convert to fraction form
    19,231.80/28,871.10 = 12,211.80/x
  3. Step 3: Cross multiply
    19,231.80x = 28,871.10 × 12,211.80
  4. Step 4: Simplify right side
    19,231.80x = 352,568,098.98
  5. Step 5: Solve for x
    x = 352,568,098.98/19,231.80
  6. Step 6: Final answer
    x = 18,332.56

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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.