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Finding the Fourth Proportional to 8,086.63, 12,129.99 and 2,821.61

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Solution

The fourth proportional to 8,086.63, 12,129.99 and 2,821.61 is: 4,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.63 : 12,129.99 = 2,821.61 : x
  2. Step 2: Convert to fraction form
    8,086.63/12,129.99 = 2,821.61/x
  3. Step 3: Cross multiply
    8,086.63x = 12,129.99 × 2,821.61
  4. Step 4: Simplify right side
    8,086.63x = 34,226,101.08
  5. Step 5: Solve for x
    x = 34,226,101.08/8,086.63
  6. Step 6: Final answer
    x = 4,232.43

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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.