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Finding the Fourth Proportional to 4,447.80, 6,671.62 and 1,327.82

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Solution

The fourth proportional to 4,447.80, 6,671.62 and 1,327.82 is: 1,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.80 : 6,671.62 = 1,327.82 : x
  2. Step 2: Convert to fraction form
    4,447.80/6,671.62 = 1,327.82/x
  3. Step 3: Cross multiply
    4,447.80x = 6,671.62 × 1,327.82
  4. Step 4: Simplify right side
    4,447.80x = 8,858,710.47
  5. Step 5: Solve for x
    x = 8,858,710.47/4,447.80
  6. Step 6: Final answer
    x = 1,991.71

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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.