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Finding the Fourth Proportional to 3,393.85, 5,092.77 and 1,640.65

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Solution

The fourth proportional to 3,393.85, 5,092.77 and 1,640.65 is: 2,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.85 : 5,092.77 = 1,640.65 : x
  2. Step 2: Convert to fraction form
    3,393.85/5,092.77 = 1,640.65/x
  3. Step 3: Cross multiply
    3,393.85x = 5,092.77 × 1,640.65
  4. Step 4: Simplify right side
    3,393.85x = 8,355,453.10
  5. Step 5: Solve for x
    x = 8,355,453.10/3,393.85
  6. Step 6: Final answer
    x = 2,461.94

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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.