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Finding the Fourth Proportional to 3,855.53, 5,782.86 and 1,082.31

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Solution

The fourth proportional to 3,855.53, 5,782.86 and 1,082.31 is: 1,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.53 : 5,782.86 = 1,082.31 : x
  2. Step 2: Convert to fraction form
    3,855.53/5,782.86 = 1,082.31/x
  3. Step 3: Cross multiply
    3,855.53x = 5,782.86 × 1,082.31
  4. Step 4: Simplify right side
    3,855.53x = 6,258,858.05
  5. Step 5: Solve for x
    x = 6,258,858.05/3,855.53
  6. Step 6: Final answer
    x = 1,623.34

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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.