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Finding the Fourth Proportional to 19,891.59, 29,840.94 and 8,198.43

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Solution

The fourth proportional to 19,891.59, 29,840.94 and 8,198.43 is: 12,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.59 : 29,840.94 = 8,198.43 : x
  2. Step 2: Convert to fraction form
    19,891.59/29,840.94 = 8,198.43/x
  3. Step 3: Cross multiply
    19,891.59x = 29,840.94 × 8,198.43
  4. Step 4: Simplify right side
    19,891.59x = 244,648,857.72
  5. Step 5: Solve for x
    x = 244,648,857.72/19,891.59
  6. Step 6: Final answer
    x = 12,299.11

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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.