Home / 2,292.46-3,439.21-831.61

Finding the Fourth Proportional to 2,292.46, 3,439.21 and 831.61

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Solution

The fourth proportional to 2,292.46, 3,439.21 and 831.61 is: 1,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.46 : 3,439.21 = 831.61 : x
  2. Step 2: Convert to fraction form
    2,292.46/3,439.21 = 831.61/x
  3. Step 3: Cross multiply
    2,292.46x = 3,439.21 × 831.61
  4. Step 4: Simplify right side
    2,292.46x = 2,860,079.35
  5. Step 5: Solve for x
    x = 2,860,079.35/2,292.46
  6. Step 6: Final answer
    x = 1,247.60

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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.