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Finding the Fourth Proportional to 2,850.38, 3,932.42 and 1,671.02

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Solution

The fourth proportional to 2,850.38, 3,932.42 and 1,671.02 is: 2,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.38 : 3,932.42 = 1,671.02 : x
  2. Step 2: Convert to fraction form
    2,850.38/3,932.42 = 1,671.02/x
  3. Step 3: Cross multiply
    2,850.38x = 3,932.42 × 1,671.02
  4. Step 4: Simplify right side
    2,850.38x = 6,571,152.47
  5. Step 5: Solve for x
    x = 6,571,152.47/2,850.38
  6. Step 6: Final answer
    x = 2,305.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.