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Finding the Fourth Proportional to 5,489, 8,233.50 and 2,204.36

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Solution

The fourth proportional to 5,489, 8,233.50 and 2,204.36 is: 3,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489 : 8,233.50 = 2,204.36 : x
  2. Step 2: Convert to fraction form
    5,489/8,233.50 = 2,204.36/x
  3. Step 3: Cross multiply
    5,489x = 8,233.50 × 2,204.36
  4. Step 4: Simplify right side
    5,489x = 18,149,598.06
  5. Step 5: Solve for x
    x = 18,149,598.06/5,489
  6. Step 6: Final answer
    x = 3,306.54

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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.