Home / 2,105.14-3,157.46-645.30

Finding the Fourth Proportional to 2,105.14, 3,157.46 and 645.30

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Solution

The fourth proportional to 2,105.14, 3,157.46 and 645.30 is: 967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.14 : 3,157.46 = 645.30 : x
  2. Step 2: Convert to fraction form
    2,105.14/3,157.46 = 645.30/x
  3. Step 3: Cross multiply
    2,105.14x = 3,157.46 × 645.30
  4. Step 4: Simplify right side
    2,105.14x = 2,037,508.94
  5. Step 5: Solve for x
    x = 2,037,508.94/2,105.14
  6. Step 6: Final answer
    x = 967.87

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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.