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Finding the Fourth Proportional to 3,490.14, 4,815.78 and 2,092.92

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Solution

The fourth proportional to 3,490.14, 4,815.78 and 2,092.92 is: 2,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.14 : 4,815.78 = 2,092.92 : x
  2. Step 2: Convert to fraction form
    3,490.14/4,815.78 = 2,092.92/x
  3. Step 3: Cross multiply
    3,490.14x = 4,815.78 × 2,092.92
  4. Step 4: Simplify right side
    3,490.14x = 10,079,042.28
  5. Step 5: Solve for x
    x = 10,079,042.28/3,490.14
  6. Step 6: Final answer
    x = 2,887.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.