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Finding the Fourth Proportional to 8,248, 12,340.92 and 5,787.68

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Solution

The fourth proportional to 8,248, 12,340.92 and 5,787.68 is: 8,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248 : 12,340.92 = 5,787.68 : x
  2. Step 2: Convert to fraction form
    8,248/12,340.92 = 5,787.68/x
  3. Step 3: Cross multiply
    8,248x = 12,340.92 × 5,787.68
  4. Step 4: Simplify right side
    8,248x = 71,425,295.87
  5. Step 5: Solve for x
    x = 71,425,295.87/8,248
  6. Step 6: Final answer
    x = 8,659.71

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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.