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Finding the Fourth Proportional to 2,019.88, 3,029.57 and 633.27

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Solution

The fourth proportional to 2,019.88, 3,029.57 and 633.27 is: 949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.88 : 3,029.57 = 633.27 : x
  2. Step 2: Convert to fraction form
    2,019.88/3,029.57 = 633.27/x
  3. Step 3: Cross multiply
    2,019.88x = 3,029.57 × 633.27
  4. Step 4: Simplify right side
    2,019.88x = 1,918,535.79
  5. Step 5: Solve for x
    x = 1,918,535.79/2,019.88
  6. Step 6: Final answer
    x = 949.83

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1.5x scale

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.