Home / 2,554.20-3,831.90-822.84

Finding the Fourth Proportional to 2,554.20, 3,831.90 and 822.84

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Solution

The fourth proportional to 2,554.20, 3,831.90 and 822.84 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.20 : 3,831.90 = 822.84 : x
  2. Step 2: Convert to fraction form
    2,554.20/3,831.90 = 822.84/x
  3. Step 3: Cross multiply
    2,554.20x = 3,831.90 × 822.84
  4. Step 4: Simplify right side
    2,554.20x = 3,153,040.60
  5. Step 5: Solve for x
    x = 3,153,040.60/2,554.20
  6. Step 6: Final answer
    x = 1,234.45

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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.