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Finding the Fourth Proportional to 2,016.68, 3,023.64 and 629.54

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Solution

The fourth proportional to 2,016.68, 3,023.64 and 629.54 is: 943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.68 : 3,023.64 = 629.54 : x
  2. Step 2: Convert to fraction form
    2,016.68/3,023.64 = 629.54/x
  3. Step 3: Cross multiply
    2,016.68x = 3,023.64 × 629.54
  4. Step 4: Simplify right side
    2,016.68x = 1,903,502.33
  5. Step 5: Solve for x
    x = 1,903,502.33/2,016.68
  6. Step 6: Final answer
    x = 943.88

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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.