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Finding the Fourth Proportional to 3,276, 4,517.68 and 2,096.64

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Solution

The fourth proportional to 3,276, 4,517.68 and 2,096.64 is: 2,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276 : 4,517.68 = 2,096.64 : x
  2. Step 2: Convert to fraction form
    3,276/4,517.68 = 2,096.64/x
  3. Step 3: Cross multiply
    3,276x = 4,517.68 × 2,096.64
  4. Step 4: Simplify right side
    3,276x = 9,471,948.60
  5. Step 5: Solve for x
    x = 9,471,948.60/3,276
  6. Step 6: Final answer
    x = 2,891.32

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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.