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Finding the Fourth Proportional to 2,757.54, 4,139.82 and 1,787.70

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Solution

The fourth proportional to 2,757.54, 4,139.82 and 1,787.70 is: 2,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.54 : 4,139.82 = 1,787.70 : x
  2. Step 2: Convert to fraction form
    2,757.54/4,139.82 = 1,787.70/x
  3. Step 3: Cross multiply
    2,757.54x = 4,139.82 × 1,787.70
  4. Step 4: Simplify right side
    2,757.54x = 7,400,756.21
  5. Step 5: Solve for x
    x = 7,400,756.21/2,757.54
  6. Step 6: Final answer
    x = 2,683.83

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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.