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Finding the Fourth Proportional to 3,394.91, 5,092.13 and 929.75

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Solution

The fourth proportional to 3,394.91, 5,092.13 and 929.75 is: 1,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.91 : 5,092.13 = 929.75 : x
  2. Step 2: Convert to fraction form
    3,394.91/5,092.13 = 929.75/x
  3. Step 3: Cross multiply
    3,394.91x = 5,092.13 × 929.75
  4. Step 4: Simplify right side
    3,394.91x = 4,734,382.41
  5. Step 5: Solve for x
    x = 4,734,382.41/3,394.91
  6. Step 6: Final answer
    x = 1,394.56

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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.