Home / 1,831.24-2,744.38-843.49

Finding the Fourth Proportional to 1,831.24, 2,744.38 and 843.49

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Solution

The fourth proportional to 1,831.24, 2,744.38 and 843.49 is: 1,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.24 : 2,744.38 = 843.49 : x
  2. Step 2: Convert to fraction form
    1,831.24/2,744.38 = 843.49/x
  3. Step 3: Cross multiply
    1,831.24x = 2,744.38 × 843.49
  4. Step 4: Simplify right side
    1,831.24x = 2,314,857.09
  5. Step 5: Solve for x
    x = 2,314,857.09/1,831.24
  6. Step 6: Final answer
    x = 1,264.09

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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.