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Finding the Fourth Proportional to 2,096.81, 3,144.07 and 635.77

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Solution

The fourth proportional to 2,096.81, 3,144.07 and 635.77 is: 953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.81 : 3,144.07 = 635.77 : x
  2. Step 2: Convert to fraction form
    2,096.81/3,144.07 = 635.77/x
  3. Step 3: Cross multiply
    2,096.81x = 3,144.07 × 635.77
  4. Step 4: Simplify right side
    2,096.81x = 1,998,905.38
  5. Step 5: Solve for x
    x = 1,998,905.38/2,096.81
  6. Step 6: Final answer
    x = 953.31

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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.