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Finding the Fourth Proportional to 2,851.62, 4,269.78 and 2,687.84

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Solution

The fourth proportional to 2,851.62, 4,269.78 and 2,687.84 is: 4,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.62 : 4,269.78 = 2,687.84 : x
  2. Step 2: Convert to fraction form
    2,851.62/4,269.78 = 2,687.84/x
  3. Step 3: Cross multiply
    2,851.62x = 4,269.78 × 2,687.84
  4. Step 4: Simplify right side
    2,851.62x = 11,476,485.48
  5. Step 5: Solve for x
    x = 11,476,485.48/2,851.62
  6. Step 6: Final answer
    x = 4,024.55

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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.