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Finding the Fourth Proportional to 12,662.16, 18,982.84 and 8,224.40

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Solution

The fourth proportional to 12,662.16, 18,982.84 and 8,224.40 is: 12,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.16 : 18,982.84 = 8,224.40 : x
  2. Step 2: Convert to fraction form
    12,662.16/18,982.84 = 8,224.40/x
  3. Step 3: Cross multiply
    12,662.16x = 18,982.84 × 8,224.40
  4. Step 4: Simplify right side
    12,662.16x = 156,122,469.30
  5. Step 5: Solve for x
    x = 156,122,469.30/12,662.16
  6. Step 6: Final answer
    x = 12,329.84

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1.5x scale

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.