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Finding the Fourth Proportional to 3,861.64, 5,793.36 and 1,264.42

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Solution

The fourth proportional to 3,861.64, 5,793.36 and 1,264.42 is: 1,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.64 : 5,793.36 = 1,264.42 : x
  2. Step 2: Convert to fraction form
    3,861.64/5,793.36 = 1,264.42/x
  3. Step 3: Cross multiply
    3,861.64x = 5,793.36 × 1,264.42
  4. Step 4: Simplify right side
    3,861.64x = 7,325,240.25
  5. Step 5: Solve for x
    x = 7,325,240.25/3,861.64
  6. Step 6: Final answer
    x = 1,896.92

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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.