Home / 3,857.20-5,787.90-2,102.10

Finding the Fourth Proportional to 3,857.20, 5,787.90 and 2,102.10

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Solution

The fourth proportional to 3,857.20, 5,787.90 and 2,102.10 is: 3,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.20 : 5,787.90 = 2,102.10 : x
  2. Step 2: Convert to fraction form
    3,857.20/5,787.90 = 2,102.10/x
  3. Step 3: Cross multiply
    3,857.20x = 5,787.90 × 2,102.10
  4. Step 4: Simplify right side
    3,857.20x = 12,166,744.59
  5. Step 5: Solve for x
    x = 12,166,744.59/3,857.20
  6. Step 6: Final answer
    x = 3,154.29

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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.