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Finding the Fourth Proportional to 19,204, 28,817.34 and 8,109.97

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Solution

The fourth proportional to 19,204, 28,817.34 and 8,109.97 is: 12,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204 : 28,817.34 = 8,109.97 : x
  2. Step 2: Convert to fraction form
    19,204/28,817.34 = 8,109.97/x
  3. Step 3: Cross multiply
    19,204x = 28,817.34 × 8,109.97
  4. Step 4: Simplify right side
    19,204x = 233,707,762.88
  5. Step 5: Solve for x
    x = 233,707,762.88/19,204
  6. Step 6: Final answer
    x = 12,169.74

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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.