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Finding the Fourth Proportional to 3,872.62, 5,807.64 and 2,093.34

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Solution

The fourth proportional to 3,872.62, 5,807.64 and 2,093.34 is: 3,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.62 : 5,807.64 = 2,093.34 : x
  2. Step 2: Convert to fraction form
    3,872.62/5,807.64 = 2,093.34/x
  3. Step 3: Cross multiply
    3,872.62x = 5,807.64 × 2,093.34
  4. Step 4: Simplify right side
    3,872.62x = 12,157,365.12
  5. Step 5: Solve for x
    x = 12,157,365.12/3,872.62
  6. Step 6: Final answer
    x = 3,139.31

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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.