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Finding the Fourth Proportional to 2,671.67, 3,691.62 and 2,314.86

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Solution

The fourth proportional to 2,671.67, 3,691.62 and 2,314.86 is: 3,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.67 : 3,691.62 = 2,314.86 : x
  2. Step 2: Convert to fraction form
    2,671.67/3,691.62 = 2,314.86/x
  3. Step 3: Cross multiply
    2,671.67x = 3,691.62 × 2,314.86
  4. Step 4: Simplify right side
    2,671.67x = 8,545,583.47
  5. Step 5: Solve for x
    x = 8,545,583.47/2,671.67
  6. Step 6: Final answer
    x = 3,198.60

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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.