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Finding the Fourth Proportional to 6,463.87, 9,696.72 and 2,080.30

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Solution

The fourth proportional to 6,463.87, 9,696.72 and 2,080.30 is: 3,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.87 : 9,696.72 = 2,080.30 : x
  2. Step 2: Convert to fraction form
    6,463.87/9,696.72 = 2,080.30/x
  3. Step 3: Cross multiply
    6,463.87x = 9,696.72 × 2,080.30
  4. Step 4: Simplify right side
    6,463.87x = 20,172,086.62
  5. Step 5: Solve for x
    x = 20,172,086.62/6,463.87
  6. Step 6: Final answer
    x = 3,120.74

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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.