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Finding the Fourth Proportional to 8,086.66, 12,129.97 and 2,243.28

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Solution

The fourth proportional to 8,086.66, 12,129.97 and 2,243.28 is: 3,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.66 : 12,129.97 = 2,243.28 : x
  2. Step 2: Convert to fraction form
    8,086.66/12,129.97 = 2,243.28/x
  3. Step 3: Cross multiply
    8,086.66x = 12,129.97 × 2,243.28
  4. Step 4: Simplify right side
    8,086.66x = 27,210,919.10
  5. Step 5: Solve for x
    x = 27,210,919.10/8,086.66
  6. Step 6: Final answer
    x = 3,364.91

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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.