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Finding the Fourth Proportional to 6,138.50, 8,471.13 and 3,344

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Solution

The fourth proportional to 6,138.50, 8,471.13 and 3,344 is: 4,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.50 : 8,471.13 = 3,344 : x
  2. Step 2: Convert to fraction form
    6,138.50/8,471.13 = 3,344/x
  3. Step 3: Cross multiply
    6,138.50x = 8,471.13 × 3,344
  4. Step 4: Simplify right side
    6,138.50x = 28,327,458.72
  5. Step 5: Solve for x
    x = 28,327,458.72/6,138.50
  6. Step 6: Final answer
    x = 4,614.72

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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.