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Finding the Fourth Proportional to 6,469, 8,926.80 and 3,815.80

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Solution

The fourth proportional to 6,469, 8,926.80 and 3,815.80 is: 5,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 8,926.80 = 3,815.80 : x
  2. Step 2: Convert to fraction form
    6,469/8,926.80 = 3,815.80/x
  3. Step 3: Cross multiply
    6,469x = 8,926.80 × 3,815.80
  4. Step 4: Simplify right side
    6,469x = 34,062,883.44
  5. Step 5: Solve for x
    x = 34,062,883.44/6,469
  6. Step 6: Final answer
    x = 5,265.56

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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.