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Finding the Fourth Proportional to 21,188.43, 31,791.02 and 8,044.29

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Solution

The fourth proportional to 21,188.43, 31,791.02 and 8,044.29 is: 12,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.43 : 31,791.02 = 8,044.29 : x
  2. Step 2: Convert to fraction form
    21,188.43/31,791.02 = 8,044.29/x
  3. Step 3: Cross multiply
    21,188.43x = 31,791.02 × 8,044.29
  4. Step 4: Simplify right side
    21,188.43x = 255,736,144.05
  5. Step 5: Solve for x
    x = 255,736,144.05/21,188.43
  6. Step 6: Final answer
    x = 12,069.61

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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.