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Finding the Fourth Proportional to 18,083.97, 27,131.90 and 11,412.74

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Solution

The fourth proportional to 18,083.97, 27,131.90 and 11,412.74 is: 17,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.97 : 27,131.90 = 11,412.74 : x
  2. Step 2: Convert to fraction form
    18,083.97/27,131.90 = 11,412.74/x
  3. Step 3: Cross multiply
    18,083.97x = 27,131.90 × 11,412.74
  4. Step 4: Simplify right side
    18,083.97x = 309,649,331.17
  5. Step 5: Solve for x
    x = 309,649,331.17/18,083.97
  6. Step 6: Final answer
    x = 17,122.86

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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.