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Finding the Fourth Proportional to 2,751.45, 4,128.93 and 2,569.20

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Solution

The fourth proportional to 2,751.45, 4,128.93 and 2,569.20 is: 3,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.45 : 4,128.93 = 2,569.20 : x
  2. Step 2: Convert to fraction form
    2,751.45/4,128.93 = 2,569.20/x
  3. Step 3: Cross multiply
    2,751.45x = 4,128.93 × 2,569.20
  4. Step 4: Simplify right side
    2,751.45x = 10,608,046.96
  5. Step 5: Solve for x
    x = 10,608,046.96/2,751.45
  6. Step 6: Final answer
    x = 3,855.44

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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.