Home / 2,292.34-3,438.74-831.16

Finding the Fourth Proportional to 2,292.34, 3,438.74 and 831.16

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Solution

The fourth proportional to 2,292.34, 3,438.74 and 831.16 is: 1,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.34 : 3,438.74 = 831.16 : x
  2. Step 2: Convert to fraction form
    2,292.34/3,438.74 = 831.16/x
  3. Step 3: Cross multiply
    2,292.34x = 3,438.74 × 831.16
  4. Step 4: Simplify right side
    2,292.34x = 2,858,143.14
  5. Step 5: Solve for x
    x = 2,858,143.14/2,292.34
  6. Step 6: Final answer
    x = 1,246.82

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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.