Home / 2,131.27-3,194.46-831.64

Finding the Fourth Proportional to 2,131.27, 3,194.46 and 831.64

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Solution

The fourth proportional to 2,131.27, 3,194.46 and 831.64 is: 1,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.27 : 3,194.46 = 831.64 : x
  2. Step 2: Convert to fraction form
    2,131.27/3,194.46 = 831.64/x
  3. Step 3: Cross multiply
    2,131.27x = 3,194.46 × 831.64
  4. Step 4: Simplify right side
    2,131.27x = 2,656,640.71
  5. Step 5: Solve for x
    x = 2,656,640.71/2,131.27
  6. Step 6: Final answer
    x = 1,246.51

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1.5x scale

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.