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Finding the Fourth Proportional to 2,019.88, 3,029.84 and 633.43

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Solution

The fourth proportional to 2,019.88, 3,029.84 and 633.43 is: 950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.88 : 3,029.84 = 633.43 : x
  2. Step 2: Convert to fraction form
    2,019.88/3,029.84 = 633.43/x
  3. Step 3: Cross multiply
    2,019.88x = 3,029.84 × 633.43
  4. Step 4: Simplify right side
    2,019.88x = 1,919,191.55
  5. Step 5: Solve for x
    x = 1,919,191.55/2,019.88
  6. Step 6: Final answer
    x = 950.15

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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.