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Finding the Fourth Proportional to 19,195.50, 28,793.25 and 8,251.50

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Solution

The fourth proportional to 19,195.50, 28,793.25 and 8,251.50 is: 12,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195.50 : 28,793.25 = 8,251.50 : x
  2. Step 2: Convert to fraction form
    19,195.50/28,793.25 = 8,251.50/x
  3. Step 3: Cross multiply
    19,195.50x = 28,793.25 × 8,251.50
  4. Step 4: Simplify right side
    19,195.50x = 237,587,502.38
  5. Step 5: Solve for x
    x = 237,587,502.38/19,195.50
  6. Step 6: Final answer
    x = 12,377.25

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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.