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Finding the Fourth Proportional to 6,446.69, 8,898.05 and 3,961.25

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Solution

The fourth proportional to 6,446.69, 8,898.05 and 3,961.25 is: 5,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.69 : 8,898.05 = 3,961.25 : x
  2. Step 2: Convert to fraction form
    6,446.69/8,898.05 = 3,961.25/x
  3. Step 3: Cross multiply
    6,446.69x = 8,898.05 × 3,961.25
  4. Step 4: Simplify right side
    6,446.69x = 35,247,400.56
  5. Step 5: Solve for x
    x = 35,247,400.56/6,446.69
  6. Step 6: Final answer
    x = 5,467.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.