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Finding the Fourth Proportional to 1,998.10, 2,993.02 and 1,173.90

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Solution

The fourth proportional to 1,998.10, 2,993.02 and 1,173.90 is: 1,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.10 : 2,993.02 = 1,173.90 : x
  2. Step 2: Convert to fraction form
    1,998.10/2,993.02 = 1,173.90/x
  3. Step 3: Cross multiply
    1,998.10x = 2,993.02 × 1,173.90
  4. Step 4: Simplify right side
    1,998.10x = 3,513,506.18
  5. Step 5: Solve for x
    x = 3,513,506.18/1,998.10
  6. Step 6: Final answer
    x = 1,758.42

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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.