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Finding the Fourth Proportional to 2,129.94, 3,194.87 and 831.42

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Solution

The fourth proportional to 2,129.94, 3,194.87 and 831.42 is: 1,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.94 : 3,194.87 = 831.42 : x
  2. Step 2: Convert to fraction form
    2,129.94/3,194.87 = 831.42/x
  3. Step 3: Cross multiply
    2,129.94x = 3,194.87 × 831.42
  4. Step 4: Simplify right side
    2,129.94x = 2,656,274.66
  5. Step 5: Solve for x
    x = 2,656,274.66/2,129.94
  6. Step 6: Final answer
    x = 1,247.11

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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.