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Finding the Fourth Proportional to 13,662, 20,491.14 and 5,336.22

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Solution

The fourth proportional to 13,662, 20,491.14 and 5,336.22 is: 8,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 20,491.14 = 5,336.22 : x
  2. Step 2: Convert to fraction form
    13,662/20,491.14 = 5,336.22/x
  3. Step 3: Cross multiply
    13,662x = 20,491.14 × 5,336.22
  4. Step 4: Simplify right side
    13,662x = 109,345,231.09
  5. Step 5: Solve for x
    x = 109,345,231.09/13,662
  6. Step 6: Final answer
    x = 8,003.60

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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.