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Finding the Fourth Proportional to 3,855.42, 5,783.15 and 1,082.12

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Solution

The fourth proportional to 3,855.42, 5,783.15 and 1,082.12 is: 1,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.42 : 5,783.15 = 1,082.12 : x
  2. Step 2: Convert to fraction form
    3,855.42/5,783.15 = 1,082.12/x
  3. Step 3: Cross multiply
    3,855.42x = 5,783.15 × 1,082.12
  4. Step 4: Simplify right side
    3,855.42x = 6,258,027.95
  5. Step 5: Solve for x
    x = 6,258,027.95/3,855.42
  6. Step 6: Final answer
    x = 1,623.18

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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.