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Finding the Fourth Proportional to 6,469.20, 8,929.80 and 3,918.96

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Solution

The fourth proportional to 6,469.20, 8,929.80 and 3,918.96 is: 5,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.20 : 8,929.80 = 3,918.96 : x
  2. Step 2: Convert to fraction form
    6,469.20/8,929.80 = 3,918.96/x
  3. Step 3: Cross multiply
    6,469.20x = 8,929.80 × 3,918.96
  4. Step 4: Simplify right side
    6,469.20x = 34,995,529.01
  5. Step 5: Solve for x
    x = 34,995,529.01/6,469.20
  6. Step 6: Final answer
    x = 5,409.56

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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.