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Finding the Fourth Proportional to 1,992.27, 2,749.17 and 1,108.08

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Solution

The fourth proportional to 1,992.27, 2,749.17 and 1,108.08 is: 1,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.27 : 2,749.17 = 1,108.08 : x
  2. Step 2: Convert to fraction form
    1,992.27/2,749.17 = 1,108.08/x
  3. Step 3: Cross multiply
    1,992.27x = 2,749.17 × 1,108.08
  4. Step 4: Simplify right side
    1,992.27x = 3,046,300.29
  5. Step 5: Solve for x
    x = 3,046,300.29/1,992.27
  6. Step 6: Final answer
    x = 1,529.06

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