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Finding the Fourth Proportional to 6,640.83, 9,960.60 and 2,257.77

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Solution

The fourth proportional to 6,640.83, 9,960.60 and 2,257.77 is: 3,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.83 : 9,960.60 = 2,257.77 : x
  2. Step 2: Convert to fraction form
    6,640.83/9,960.60 = 2,257.77/x
  3. Step 3: Cross multiply
    6,640.83x = 9,960.60 × 2,257.77
  4. Step 4: Simplify right side
    6,640.83x = 22,488,743.86
  5. Step 5: Solve for x
    x = 22,488,743.86/6,640.83
  6. Step 6: Final answer
    x = 3,386.44

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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.