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Finding the Fourth Proportional to 6,711.39, 10,067.90 and 1,781.12

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Solution

The fourth proportional to 6,711.39, 10,067.90 and 1,781.12 is: 2,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.39 : 10,067.90 = 1,781.12 : x
  2. Step 2: Convert to fraction form
    6,711.39/10,067.90 = 1,781.12/x
  3. Step 3: Cross multiply
    6,711.39x = 10,067.90 × 1,781.12
  4. Step 4: Simplify right side
    6,711.39x = 17,932,154.31
  5. Step 5: Solve for x
    x = 17,932,154.31/6,711.39
  6. Step 6: Final answer
    x = 2,671.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.