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Finding the Fourth Proportional to 2,096.70, 3,145.14 and 635.87

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Solution

The fourth proportional to 2,096.70, 3,145.14 and 635.87 is: 953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 3,145.14 = 635.87 : x
  2. Step 2: Convert to fraction form
    2,096.70/3,145.14 = 635.87/x
  3. Step 3: Cross multiply
    2,096.70x = 3,145.14 × 635.87
  4. Step 4: Simplify right side
    2,096.70x = 1,999,884.45
  5. Step 5: Solve for x
    x = 1,999,884.45/2,096.70
  6. Step 6: Final answer
    x = 953.82

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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.