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Finding the Fourth Proportional to 3,789.84, 5,685.84 and 2,750.88

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Solution

The fourth proportional to 3,789.84, 5,685.84 and 2,750.88 is: 4,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.84 : 5,685.84 = 2,750.88 : x
  2. Step 2: Convert to fraction form
    3,789.84/5,685.84 = 2,750.88/x
  3. Step 3: Cross multiply
    3,789.84x = 5,685.84 × 2,750.88
  4. Step 4: Simplify right side
    3,789.84x = 15,641,063.54
  5. Step 5: Solve for x
    x = 15,641,063.54/3,789.84
  6. Step 6: Final answer
    x = 4,127.10

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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.