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Finding the Fourth Proportional to 13,884.46, 20,846.20 and 8,047.60

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Solution

The fourth proportional to 13,884.46, 20,846.20 and 8,047.60 is: 12,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.46 : 20,846.20 = 8,047.60 : x
  2. Step 2: Convert to fraction form
    13,884.46/20,846.20 = 8,047.60/x
  3. Step 3: Cross multiply
    13,884.46x = 20,846.20 × 8,047.60
  4. Step 4: Simplify right side
    13,884.46x = 167,761,879.12
  5. Step 5: Solve for x
    x = 167,761,879.12/13,884.46
  6. Step 6: Final answer
    x = 12,082.71

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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.