Home / 2,130.07-3,194.49-831.23

Finding the Fourth Proportional to 2,130.07, 3,194.49 and 831.23

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Solution

The fourth proportional to 2,130.07, 3,194.49 and 831.23 is: 1,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.07 : 3,194.49 = 831.23 : x
  2. Step 2: Convert to fraction form
    2,130.07/3,194.49 = 831.23/x
  3. Step 3: Cross multiply
    2,130.07x = 3,194.49 × 831.23
  4. Step 4: Simplify right side
    2,130.07x = 2,655,355.92
  5. Step 5: Solve for x
    x = 2,655,355.92/2,130.07
  6. Step 6: Final answer
    x = 1,246.61

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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.