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Finding the Fourth Proportional to 2,019.87, 3,029.37 and 633.02

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Solution

The fourth proportional to 2,019.87, 3,029.37 and 633.02 is: 949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.87 : 3,029.37 = 633.02 : x
  2. Step 2: Convert to fraction form
    2,019.87/3,029.37 = 633.02/x
  3. Step 3: Cross multiply
    2,019.87x = 3,029.37 × 633.02
  4. Step 4: Simplify right side
    2,019.87x = 1,917,659.37
  5. Step 5: Solve for x
    x = 1,917,659.37/2,019.87
  6. Step 6: Final answer
    x = 949.40

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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.