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Finding the Fourth Proportional to 1,992.49, 2,749.61 and 1,096.20

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Solution

The fourth proportional to 1,992.49, 2,749.61 and 1,096.20 is: 1,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.49 : 2,749.61 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    1,992.49/2,749.61 = 1,096.20/x
  3. Step 3: Cross multiply
    1,992.49x = 2,749.61 × 1,096.20
  4. Step 4: Simplify right side
    1,992.49x = 3,014,125.22
  5. Step 5: Solve for x
    x = 3,014,125.22/1,992.49
  6. Step 6: Final answer
    x = 1,512.74

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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.