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Finding the Fourth Proportional to 3,233.57, 4,840.78 and 1,997

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Solution

The fourth proportional to 3,233.57, 4,840.78 and 1,997 is: 2,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.57 : 4,840.78 = 1,997 : x
  2. Step 2: Convert to fraction form
    3,233.57/4,840.78 = 1,997/x
  3. Step 3: Cross multiply
    3,233.57x = 4,840.78 × 1,997
  4. Step 4: Simplify right side
    3,233.57x = 9,667,037.66
  5. Step 5: Solve for x
    x = 9,667,037.66/3,233.57
  6. Step 6: Final answer
    x = 2,989.59

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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.