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Finding the Fourth Proportional to 2,130.92, 3,194.49 and 831.48

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Solution

The fourth proportional to 2,130.92, 3,194.49 and 831.48 is: 1,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.92 : 3,194.49 = 831.48 : x
  2. Step 2: Convert to fraction form
    2,130.92/3,194.49 = 831.48/x
  3. Step 3: Cross multiply
    2,130.92x = 3,194.49 × 831.48
  4. Step 4: Simplify right side
    2,130.92x = 2,656,138.57
  5. Step 5: Solve for x
    x = 2,656,138.57/2,130.92
  6. Step 6: Final answer
    x = 1,246.48

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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.