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Finding the Fourth Proportional to 8,709.92, 13,063.60 and 2,787.48

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Solution

The fourth proportional to 8,709.92, 13,063.60 and 2,787.48 is: 4,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.92 : 13,063.60 = 2,787.48 : x
  2. Step 2: Convert to fraction form
    8,709.92/13,063.60 = 2,787.48/x
  3. Step 3: Cross multiply
    8,709.92x = 13,063.60 × 2,787.48
  4. Step 4: Simplify right side
    8,709.92x = 36,414,523.73
  5. Step 5: Solve for x
    x = 36,414,523.73/8,709.92
  6. Step 6: Final answer
    x = 4,180.81

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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.