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Finding the Fourth Proportional to 1,992.27, 2,743.74 and 1,949.22

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Solution

The fourth proportional to 1,992.27, 2,743.74 and 1,949.22 is: 2,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.27 : 2,743.74 = 1,949.22 : x
  2. Step 2: Convert to fraction form
    1,992.27/2,743.74 = 1,949.22/x
  3. Step 3: Cross multiply
    1,992.27x = 2,743.74 × 1,949.22
  4. Step 4: Simplify right side
    1,992.27x = 5,348,152.88
  5. Step 5: Solve for x
    x = 5,348,152.88/1,992.27
  6. Step 6: Final answer
    x = 2,684.45

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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.