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Finding the Fourth Proportional to 13,760.20, 20,640.30 and 8,230.60

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Solution

The fourth proportional to 13,760.20, 20,640.30 and 8,230.60 is: 12,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.20 : 20,640.30 = 8,230.60 : x
  2. Step 2: Convert to fraction form
    13,760.20/20,640.30 = 8,230.60/x
  3. Step 3: Cross multiply
    13,760.20x = 20,640.30 × 8,230.60
  4. Step 4: Simplify right side
    13,760.20x = 169,882,053.18
  5. Step 5: Solve for x
    x = 169,882,053.18/13,760.20
  6. Step 6: Final answer
    x = 12,345.90

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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.