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Finding the Fourth Proportional to 13,684.92, 18,889.88 and 8,021.44

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Solution

The fourth proportional to 13,684.92, 18,889.88 and 8,021.44 is: 11,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.92 : 18,889.88 = 8,021.44 : x
  2. Step 2: Convert to fraction form
    13,684.92/18,889.88 = 8,021.44/x
  3. Step 3: Cross multiply
    13,684.92x = 18,889.88 × 8,021.44
  4. Step 4: Simplify right side
    13,684.92x = 151,524,039.03
  5. Step 5: Solve for x
    x = 151,524,039.03/13,684.92
  6. Step 6: Final answer
    x = 11,072.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.