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Finding the Fourth Proportional to 2,766.88, 4,143.84 and 2,185.84

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Solution

The fourth proportional to 2,766.88, 4,143.84 and 2,185.84 is: 3,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.88 : 4,143.84 = 2,185.84 : x
  2. Step 2: Convert to fraction form
    2,766.88/4,143.84 = 2,185.84/x
  3. Step 3: Cross multiply
    2,766.88x = 4,143.84 × 2,185.84
  4. Step 4: Simplify right side
    2,766.88x = 9,057,771.23
  5. Step 5: Solve for x
    x = 9,057,771.23/2,766.88
  6. Step 6: Final answer
    x = 3,273.64

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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.