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Finding the Fourth Proportional to 13,668, 20,500.17 and 5,342.22

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Solution

The fourth proportional to 13,668, 20,500.17 and 5,342.22 is: 8,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668 : 20,500.17 = 5,342.22 : x
  2. Step 2: Convert to fraction form
    13,668/20,500.17 = 5,342.22/x
  3. Step 3: Cross multiply
    13,668x = 20,500.17 × 5,342.22
  4. Step 4: Simplify right side
    13,668x = 109,516,418.18
  5. Step 5: Solve for x
    x = 109,516,418.18/13,668
  6. Step 6: Final answer
    x = 8,012.61

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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.