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Finding the Fourth Proportional to 3,299.86, 4,949.22 and 1,220.84

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Solution

The fourth proportional to 3,299.86, 4,949.22 and 1,220.84 is: 1,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.86 : 4,949.22 = 1,220.84 : x
  2. Step 2: Convert to fraction form
    3,299.86/4,949.22 = 1,220.84/x
  3. Step 3: Cross multiply
    3,299.86x = 4,949.22 × 1,220.84
  4. Step 4: Simplify right side
    3,299.86x = 6,042,205.74
  5. Step 5: Solve for x
    x = 6,042,205.74/3,299.86
  6. Step 6: Final answer
    x = 1,831.05

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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.