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Finding the Fourth Proportional to 2,120.76, 3,181.23 and 659.88

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Solution

The fourth proportional to 2,120.76, 3,181.23 and 659.88 is: 989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.76 : 3,181.23 = 659.88 : x
  2. Step 2: Convert to fraction form
    2,120.76/3,181.23 = 659.88/x
  3. Step 3: Cross multiply
    2,120.76x = 3,181.23 × 659.88
  4. Step 4: Simplify right side
    2,120.76x = 2,099,230.05
  5. Step 5: Solve for x
    x = 2,099,230.05/2,120.76
  6. Step 6: Final answer
    x = 989.85

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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.