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Finding the Fourth Proportional to 2,138.72, 3,202.34 and 2,015.88

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Solution

The fourth proportional to 2,138.72, 3,202.34 and 2,015.88 is: 3,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.72 : 3,202.34 = 2,015.88 : x
  2. Step 2: Convert to fraction form
    2,138.72/3,202.34 = 2,015.88/x
  3. Step 3: Cross multiply
    2,138.72x = 3,202.34 × 2,015.88
  4. Step 4: Simplify right side
    2,138.72x = 6,455,523.08
  5. Step 5: Solve for x
    x = 6,455,523.08/2,138.72
  6. Step 6: Final answer
    x = 3,018.41

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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.