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Finding the Fourth Proportional to 3,791.70, 5,684.09 and 3,210.44

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Solution

The fourth proportional to 3,791.70, 5,684.09 and 3,210.44 is: 4,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.70 : 5,684.09 = 3,210.44 : x
  2. Step 2: Convert to fraction form
    3,791.70/5,684.09 = 3,210.44/x
  3. Step 3: Cross multiply
    3,791.70x = 5,684.09 × 3,210.44
  4. Step 4: Simplify right side
    3,791.70x = 18,248,385.43
  5. Step 5: Solve for x
    x = 18,248,385.43/3,791.70
  6. Step 6: Final answer
    x = 4,812.72

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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.