Home / 2,130.60-3,194.94-831.40

Finding the Fourth Proportional to 2,130.60, 3,194.94 and 831.40

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Solution

The fourth proportional to 2,130.60, 3,194.94 and 831.40 is: 1,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.60 : 3,194.94 = 831.40 : x
  2. Step 2: Convert to fraction form
    2,130.60/3,194.94 = 831.40/x
  3. Step 3: Cross multiply
    2,130.60x = 3,194.94 × 831.40
  4. Step 4: Simplify right side
    2,130.60x = 2,656,273.12
  5. Step 5: Solve for x
    x = 2,656,273.12/2,130.60
  6. Step 6: Final answer
    x = 1,246.73

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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.