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Finding the Fourth Proportional to 3,889.64, 5,834.52 and 2,245.20

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Solution

The fourth proportional to 3,889.64, 5,834.52 and 2,245.20 is: 3,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.64 : 5,834.52 = 2,245.20 : x
  2. Step 2: Convert to fraction form
    3,889.64/5,834.52 = 2,245.20/x
  3. Step 3: Cross multiply
    3,889.64x = 5,834.52 × 2,245.20
  4. Step 4: Simplify right side
    3,889.64x = 13,099,664.30
  5. Step 5: Solve for x
    x = 13,099,664.30/3,889.64
  6. Step 6: Final answer
    x = 3,367.84

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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.