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Finding the Fourth Proportional to 21,199.43, 31,791.71 and 8,545.41

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Solution

The fourth proportional to 21,199.43, 31,791.71 and 8,545.41 is: 12,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.43 : 31,791.71 = 8,545.41 : x
  2. Step 2: Convert to fraction form
    21,199.43/31,791.71 = 8,545.41/x
  3. Step 3: Cross multiply
    21,199.43x = 31,791.71 × 8,545.41
  4. Step 4: Simplify right side
    21,199.43x = 271,673,153.82
  5. Step 5: Solve for x
    x = 271,673,153.82/21,199.43
  6. Step 6: Final answer
    x = 12,815.12

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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.