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Finding the Fourth Proportional to 3,022.92, 4,533.57 and 831.47

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Solution

The fourth proportional to 3,022.92, 4,533.57 and 831.47 is: 1,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.92 : 4,533.57 = 831.47 : x
  2. Step 2: Convert to fraction form
    3,022.92/4,533.57 = 831.47/x
  3. Step 3: Cross multiply
    3,022.92x = 4,533.57 × 831.47
  4. Step 4: Simplify right side
    3,022.92x = 3,769,504.78
  5. Step 5: Solve for x
    x = 3,769,504.78/3,022.92
  6. Step 6: Final answer
    x = 1,246.97

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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.