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Finding the Fourth Proportional to 3,861.99, 5,331.87 and 2,538

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Solution

The fourth proportional to 3,861.99, 5,331.87 and 2,538 is: 3,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.99 : 5,331.87 = 2,538 : x
  2. Step 2: Convert to fraction form
    3,861.99/5,331.87 = 2,538/x
  3. Step 3: Cross multiply
    3,861.99x = 5,331.87 × 2,538
  4. Step 4: Simplify right side
    3,861.99x = 13,532,286.06
  5. Step 5: Solve for x
    x = 13,532,286.06/3,861.99
  6. Step 6: Final answer
    x = 3,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.