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Finding the Fourth Proportional to 3,671.84, 5,067.16 and 2,179.82

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Solution

The fourth proportional to 3,671.84, 5,067.16 and 2,179.82 is: 3,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.84 : 5,067.16 = 2,179.82 : x
  2. Step 2: Convert to fraction form
    3,671.84/5,067.16 = 2,179.82/x
  3. Step 3: Cross multiply
    3,671.84x = 5,067.16 × 2,179.82
  4. Step 4: Simplify right side
    3,671.84x = 11,045,496.71
  5. Step 5: Solve for x
    x = 11,045,496.71/3,671.84
  6. Step 6: Final answer
    x = 3,008.16

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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.