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Finding the Fourth Proportional to 2,096.60, 3,144.89 and 635.75

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Solution

The fourth proportional to 2,096.60, 3,144.89 and 635.75 is: 953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.60 : 3,144.89 = 635.75 : x
  2. Step 2: Convert to fraction form
    2,096.60/3,144.89 = 635.75/x
  3. Step 3: Cross multiply
    2,096.60x = 3,144.89 × 635.75
  4. Step 4: Simplify right side
    2,096.60x = 1,999,344.91
  5. Step 5: Solve for x
    x = 1,999,344.91/2,096.60
  6. Step 6: Final answer
    x = 953.62

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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.