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Finding the Fourth Proportional to 6,138, 9,213 and 4,489.56

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Solution

The fourth proportional to 6,138, 9,213 and 4,489.56 is: 6,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 9,213 = 4,489.56 : x
  2. Step 2: Convert to fraction form
    6,138/9,213 = 4,489.56/x
  3. Step 3: Cross multiply
    6,138x = 9,213 × 4,489.56
  4. Step 4: Simplify right side
    6,138x = 41,362,316.28
  5. Step 5: Solve for x
    x = 41,362,316.28/6,138
  6. Step 6: Final answer
    x = 6,738.73

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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.