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Finding the Fourth Proportional to 11,881, 17,814.96 and 8,137.09

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Solution

The fourth proportional to 11,881, 17,814.96 and 8,137.09 is: 12,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881 : 17,814.96 = 8,137.09 : x
  2. Step 2: Convert to fraction form
    11,881/17,814.96 = 8,137.09/x
  3. Step 3: Cross multiply
    11,881x = 17,814.96 × 8,137.09
  4. Step 4: Simplify right side
    11,881x = 144,961,932.87
  5. Step 5: Solve for x
    x = 144,961,932.87/11,881
  6. Step 6: Final answer
    x = 12,201.16

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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.