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Finding the Fourth Proportional to 3,997.17, 5,997.65 and 1,806.57

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Solution

The fourth proportional to 3,997.17, 5,997.65 and 1,806.57 is: 2,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.17 : 5,997.65 = 1,806.57 : x
  2. Step 2: Convert to fraction form
    3,997.17/5,997.65 = 1,806.57/x
  3. Step 3: Cross multiply
    3,997.17x = 5,997.65 × 1,806.57
  4. Step 4: Simplify right side
    3,997.17x = 10,835,165.53
  5. Step 5: Solve for x
    x = 10,835,165.53/3,997.17
  6. Step 6: Final answer
    x = 2,710.71

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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.