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Finding the Fourth Proportional to 3,997.76, 5,998.68 and 2,696.50

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Solution

The fourth proportional to 3,997.76, 5,998.68 and 2,696.50 is: 4,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.76 : 5,998.68 = 2,696.50 : x
  2. Step 2: Convert to fraction form
    3,997.76/5,998.68 = 2,696.50/x
  3. Step 3: Cross multiply
    3,997.76x = 5,998.68 × 2,696.50
  4. Step 4: Simplify right side
    3,997.76x = 16,175,440.62
  5. Step 5: Solve for x
    x = 16,175,440.62/3,997.76
  6. Step 6: Final answer
    x = 4,046.13

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1.5x scale

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.