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Finding the Fourth Proportional to 3,489.72, 5,226.27 and 2,839.02

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Solution

The fourth proportional to 3,489.72, 5,226.27 and 2,839.02 is: 4,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.72 : 5,226.27 = 2,839.02 : x
  2. Step 2: Convert to fraction form
    3,489.72/5,226.27 = 2,839.02/x
  3. Step 3: Cross multiply
    3,489.72x = 5,226.27 × 2,839.02
  4. Step 4: Simplify right side
    3,489.72x = 14,837,485.06
  5. Step 5: Solve for x
    x = 14,837,485.06/3,489.72
  6. Step 6: Final answer
    x = 4,251.77

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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.