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Finding the Fourth Proportional to 7,982.10, 11,978.58 and 2,787.96

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Solution

The fourth proportional to 7,982.10, 11,978.58 and 2,787.96 is: 4,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.10 : 11,978.58 = 2,787.96 : x
  2. Step 2: Convert to fraction form
    7,982.10/11,978.58 = 2,787.96/x
  3. Step 3: Cross multiply
    7,982.10x = 11,978.58 × 2,787.96
  4. Step 4: Simplify right side
    7,982.10x = 33,395,801.90
  5. Step 5: Solve for x
    x = 33,395,801.90/7,982.10
  6. Step 6: Final answer
    x = 4,183.84

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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.