Home / 1,831.21-2,747.82-1,214.80

Finding the Fourth Proportional to 1,831.21, 2,747.82 and 1,214.80

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Solution

The fourth proportional to 1,831.21, 2,747.82 and 1,214.80 is: 1,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.21 : 2,747.82 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    1,831.21/2,747.82 = 1,214.80/x
  3. Step 3: Cross multiply
    1,831.21x = 2,747.82 × 1,214.80
  4. Step 4: Simplify right side
    1,831.21x = 3,338,049.42
  5. Step 5: Solve for x
    x = 3,338,049.42/1,831.21
  6. Step 6: Final answer
    x = 1,822.87

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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.