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Finding the Fourth Proportional to 10,906.80, 16,343.40 and 8,120.40

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Solution

The fourth proportional to 10,906.80, 16,343.40 and 8,120.40 is: 12,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.80 : 16,343.40 = 8,120.40 : x
  2. Step 2: Convert to fraction form
    10,906.80/16,343.40 = 8,120.40/x
  3. Step 3: Cross multiply
    10,906.80x = 16,343.40 × 8,120.40
  4. Step 4: Simplify right side
    10,906.80x = 132,714,945.36
  5. Step 5: Solve for x
    x = 132,714,945.36/10,906.80
  6. Step 6: Final answer
    x = 12,168.09

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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.