Home / 2,292.30-3,439.80-831.60

Finding the Fourth Proportional to 2,292.30, 3,439.80 and 831.60

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Solution

The fourth proportional to 2,292.30, 3,439.80 and 831.60 is: 1,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.30 : 3,439.80 = 831.60 : x
  2. Step 2: Convert to fraction form
    2,292.30/3,439.80 = 831.60/x
  3. Step 3: Cross multiply
    2,292.30x = 3,439.80 × 831.60
  4. Step 4: Simplify right side
    2,292.30x = 2,860,537.68
  5. Step 5: Solve for x
    x = 2,860,537.68/2,292.30
  6. Step 6: Final answer
    x = 1,247.89

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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.