Home / 2,292.36-3,438.54-831.86

Finding the Fourth Proportional to 2,292.36, 3,438.54 and 831.86

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Solution

The fourth proportional to 2,292.36, 3,438.54 and 831.86 is: 1,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.36 : 3,438.54 = 831.86 : x
  2. Step 2: Convert to fraction form
    2,292.36/3,438.54 = 831.86/x
  3. Step 3: Cross multiply
    2,292.36x = 3,438.54 × 831.86
  4. Step 4: Simplify right side
    2,292.36x = 2,860,378.85
  5. Step 5: Solve for x
    x = 2,860,378.85/2,292.36
  6. Step 6: Final answer
    x = 1,247.79

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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.