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Finding the Fourth Proportional to 3,787.11, 5,678.90 and 2,097.37

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Solution

The fourth proportional to 3,787.11, 5,678.90 and 2,097.37 is: 3,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.11 : 5,678.90 = 2,097.37 : x
  2. Step 2: Convert to fraction form
    3,787.11/5,678.90 = 2,097.37/x
  3. Step 3: Cross multiply
    3,787.11x = 5,678.90 × 2,097.37
  4. Step 4: Simplify right side
    3,787.11x = 11,910,754.49
  5. Step 5: Solve for x
    x = 11,910,754.49/3,787.11
  6. Step 6: Final answer
    x = 3,145.08

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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.