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Finding the Fourth Proportional to 1,992.98, 2,751.24 and 1,247.42

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Solution

The fourth proportional to 1,992.98, 2,751.24 and 1,247.42 is: 1,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.98 : 2,751.24 = 1,247.42 : x
  2. Step 2: Convert to fraction form
    1,992.98/2,751.24 = 1,247.42/x
  3. Step 3: Cross multiply
    1,992.98x = 2,751.24 × 1,247.42
  4. Step 4: Simplify right side
    1,992.98x = 3,431,938.04
  5. Step 5: Solve for x
    x = 3,431,938.04/1,992.98
  6. Step 6: Final answer
    x = 1,722.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.