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Finding the Fourth Proportional to 3,859.56, 5,789.94 and 1,261.90

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Solution

The fourth proportional to 3,859.56, 5,789.94 and 1,261.90 is: 1,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.56 : 5,789.94 = 1,261.90 : x
  2. Step 2: Convert to fraction form
    3,859.56/5,789.94 = 1,261.90/x
  3. Step 3: Cross multiply
    3,859.56x = 5,789.94 × 1,261.90
  4. Step 4: Simplify right side
    3,859.56x = 7,306,325.29
  5. Step 5: Solve for x
    x = 7,306,325.29/3,859.56
  6. Step 6: Final answer
    x = 1,893.05

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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.