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Finding the Fourth Proportional to 1,998.96, 2,994.79 and 1,449.78

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Solution

The fourth proportional to 1,998.96, 2,994.79 and 1,449.78 is: 2,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.96 : 2,994.79 = 1,449.78 : x
  2. Step 2: Convert to fraction form
    1,998.96/2,994.79 = 1,449.78/x
  3. Step 3: Cross multiply
    1,998.96x = 2,994.79 × 1,449.78
  4. Step 4: Simplify right side
    1,998.96x = 4,341,786.65
  5. Step 5: Solve for x
    x = 4,341,786.65/1,998.96
  6. Step 6: Final answer
    x = 2,172.02

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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.