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Finding the Fourth Proportional to 2,440.71, 3,661.88 and 798.39

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Solution

The fourth proportional to 2,440.71, 3,661.88 and 798.39 is: 1,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.71 : 3,661.88 = 798.39 : x
  2. Step 2: Convert to fraction form
    2,440.71/3,661.88 = 798.39/x
  3. Step 3: Cross multiply
    2,440.71x = 3,661.88 × 798.39
  4. Step 4: Simplify right side
    2,440.71x = 2,923,604.38
  5. Step 5: Solve for x
    x = 2,923,604.38/2,440.71
  6. Step 6: Final answer
    x = 1,197.85

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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.