Home / 2,292.25-3,438.37-831.52

Finding the Fourth Proportional to 2,292.25, 3,438.37 and 831.52

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Solution

The fourth proportional to 2,292.25, 3,438.37 and 831.52 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.25 : 3,438.37 = 831.52 : x
  2. Step 2: Convert to fraction form
    2,292.25/3,438.37 = 831.52/x
  3. Step 3: Cross multiply
    2,292.25x = 3,438.37 × 831.52
  4. Step 4: Simplify right side
    2,292.25x = 2,859,061.76
  5. Step 5: Solve for x
    x = 2,859,061.76/2,292.25
  6. Step 6: Final answer
    x = 1,247.27

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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.