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Finding the Fourth Proportional to 2,831.71, 3,908.19 and 1,620.37

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Solution

The fourth proportional to 2,831.71, 3,908.19 and 1,620.37 is: 2,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.71 : 3,908.19 = 1,620.37 : x
  2. Step 2: Convert to fraction form
    2,831.71/3,908.19 = 1,620.37/x
  3. Step 3: Cross multiply
    2,831.71x = 3,908.19 × 1,620.37
  4. Step 4: Simplify right side
    2,831.71x = 6,332,713.83
  5. Step 5: Solve for x
    x = 6,332,713.83/2,831.71
  6. Step 6: Final answer
    x = 2,236.36

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Why These Related Problems?

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