Home / 2,292.39-3,438.90-831.15

Finding the Fourth Proportional to 2,292.39, 3,438.90 and 831.15

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Solution

The fourth proportional to 2,292.39, 3,438.90 and 831.15 is: 1,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.39 : 3,438.90 = 831.15 : x
  2. Step 2: Convert to fraction form
    2,292.39/3,438.90 = 831.15/x
  3. Step 3: Cross multiply
    2,292.39x = 3,438.90 × 831.15
  4. Step 4: Simplify right side
    2,292.39x = 2,858,241.74
  5. Step 5: Solve for x
    x = 2,858,241.74/2,292.39
  6. Step 6: Final answer
    x = 1,246.84

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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.