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Finding the Fourth Proportional to 2,046.92, 3,072.77 and 1,007.78

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Solution

The fourth proportional to 2,046.92, 3,072.77 and 1,007.78 is: 1,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.92 : 3,072.77 = 1,007.78 : x
  2. Step 2: Convert to fraction form
    2,046.92/3,072.77 = 1,007.78/x
  3. Step 3: Cross multiply
    2,046.92x = 3,072.77 × 1,007.78
  4. Step 4: Simplify right side
    2,046.92x = 3,096,671.11
  5. Step 5: Solve for x
    x = 3,096,671.11/2,046.92
  6. Step 6: Final answer
    x = 1,512.84

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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.