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Finding the Fourth Proportional to 8,133.97, 12,201.42 and 2,291.05

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Solution

The fourth proportional to 8,133.97, 12,201.42 and 2,291.05 is: 3,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.97 : 12,201.42 = 2,291.05 : x
  2. Step 2: Convert to fraction form
    8,133.97/12,201.42 = 2,291.05/x
  3. Step 3: Cross multiply
    8,133.97x = 12,201.42 × 2,291.05
  4. Step 4: Simplify right side
    8,133.97x = 27,954,063.29
  5. Step 5: Solve for x
    x = 27,954,063.29/8,133.97
  6. Step 6: Final answer
    x = 3,436.71

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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.