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Finding the Fourth Proportional to 5,379.56, 8,082.02 and 3,164.07

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Solution

The fourth proportional to 5,379.56, 8,082.02 and 3,164.07 is: 4,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.56 : 8,082.02 = 3,164.07 : x
  2. Step 2: Convert to fraction form
    5,379.56/8,082.02 = 3,164.07/x
  3. Step 3: Cross multiply
    5,379.56x = 8,082.02 × 3,164.07
  4. Step 4: Simplify right side
    5,379.56x = 25,572,069.78
  5. Step 5: Solve for x
    x = 25,572,069.78/5,379.56
  6. Step 6: Final answer
    x = 4,753.56

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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.