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Finding the Fourth Proportional to 5,489, 8,234.84 and 1,791.40

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Solution

The fourth proportional to 5,489, 8,234.84 and 1,791.40 is: 2,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489 : 8,234.84 = 1,791.40 : x
  2. Step 2: Convert to fraction form
    5,489/8,234.84 = 1,791.40/x
  3. Step 3: Cross multiply
    5,489x = 8,234.84 × 1,791.40
  4. Step 4: Simplify right side
    5,489x = 14,751,892.38
  5. Step 5: Solve for x
    x = 14,751,892.38/5,489
  6. Step 6: Final answer
    x = 2,687.54

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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.