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Finding the Fourth Proportional to 2,311.76, 3,468.90 and 850.70

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Solution

The fourth proportional to 2,311.76, 3,468.90 and 850.70 is: 1,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.76 : 3,468.90 = 850.70 : x
  2. Step 2: Convert to fraction form
    2,311.76/3,468.90 = 850.70/x
  3. Step 3: Cross multiply
    2,311.76x = 3,468.90 × 850.70
  4. Step 4: Simplify right side
    2,311.76x = 2,951,005.09
  5. Step 5: Solve for x
    x = 2,951,005.09/2,311.76
  6. Step 6: Final answer
    x = 1,276.52

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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.