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Finding the Fourth Proportional to 8,087.76, 12,129.84 and 2,540.34

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Solution

The fourth proportional to 8,087.76, 12,129.84 and 2,540.34 is: 3,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.76 : 12,129.84 = 2,540.34 : x
  2. Step 2: Convert to fraction form
    8,087.76/12,129.84 = 2,540.34/x
  3. Step 3: Cross multiply
    8,087.76x = 12,129.84 × 2,540.34
  4. Step 4: Simplify right side
    8,087.76x = 30,813,917.75
  5. Step 5: Solve for x
    x = 30,813,917.75/8,087.76
  6. Step 6: Final answer
    x = 3,809.94

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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.