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Finding the Fourth Proportional to 2,751.96, 4,128.34 and 1,108.46

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Solution

The fourth proportional to 2,751.96, 4,128.34 and 1,108.46 is: 1,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.96 : 4,128.34 = 1,108.46 : x
  2. Step 2: Convert to fraction form
    2,751.96/4,128.34 = 1,108.46/x
  3. Step 3: Cross multiply
    2,751.96x = 4,128.34 × 1,108.46
  4. Step 4: Simplify right side
    2,751.96x = 4,576,099.76
  5. Step 5: Solve for x
    x = 4,576,099.76/2,751.96
  6. Step 6: Final answer
    x = 1,662.85

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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.