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Finding the Fourth Proportional to 9,961.01, 13,731.09 and 8,189.54

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Solution

The fourth proportional to 9,961.01, 13,731.09 and 8,189.54 is: 11,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.01 : 13,731.09 = 8,189.54 : x
  2. Step 2: Convert to fraction form
    9,961.01/13,731.09 = 8,189.54/x
  3. Step 3: Cross multiply
    9,961.01x = 13,731.09 × 8,189.54
  4. Step 4: Simplify right side
    9,961.01x = 112,451,310.80
  5. Step 5: Solve for x
    x = 112,451,310.80/9,961.01
  6. Step 6: Final answer
    x = 11,289.15

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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.