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Finding the Fourth Proportional to 8,129.70, 12,194.49 and 2,583.48

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Solution

The fourth proportional to 8,129.70, 12,194.49 and 2,583.48 is: 3,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.70 : 12,194.49 = 2,583.48 : x
  2. Step 2: Convert to fraction form
    8,129.70/12,194.49 = 2,583.48/x
  3. Step 3: Cross multiply
    8,129.70x = 12,194.49 × 2,583.48
  4. Step 4: Simplify right side
    8,129.70x = 31,504,221.03
  5. Step 5: Solve for x
    x = 31,504,221.03/8,129.70
  6. Step 6: Final answer
    x = 3,875.20

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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.