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Finding the Fourth Proportional to 3,082.42, 4,623.42 and 1,439.33

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Solution

The fourth proportional to 3,082.42, 4,623.42 and 1,439.33 is: 2,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.42 : 4,623.42 = 1,439.33 : x
  2. Step 2: Convert to fraction form
    3,082.42/4,623.42 = 1,439.33/x
  3. Step 3: Cross multiply
    3,082.42x = 4,623.42 × 1,439.33
  4. Step 4: Simplify right side
    3,082.42x = 6,654,627.11
  5. Step 5: Solve for x
    x = 6,654,627.11/3,082.42
  6. Step 6: Final answer
    x = 2,158.90

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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.