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Finding the Fourth Proportional to 2,883.08, 4,324.94 and 831.08

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Solution

The fourth proportional to 2,883.08, 4,324.94 and 831.08 is: 1,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.08 : 4,324.94 = 831.08 : x
  2. Step 2: Convert to fraction form
    2,883.08/4,324.94 = 831.08/x
  3. Step 3: Cross multiply
    2,883.08x = 4,324.94 × 831.08
  4. Step 4: Simplify right side
    2,883.08x = 3,594,371.14
  5. Step 5: Solve for x
    x = 3,594,371.14/2,883.08
  6. Step 6: Final answer
    x = 1,246.71

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Why These Related Problems?

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