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Finding the Fourth Proportional to 6,138.56, 8,471.16 and 3,344

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Solution

The fourth proportional to 6,138.56, 8,471.16 and 3,344 is: 4,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.56 : 8,471.16 = 3,344 : x
  2. Step 2: Convert to fraction form
    6,138.56/8,471.16 = 3,344/x
  3. Step 3: Cross multiply
    6,138.56x = 8,471.16 × 3,344
  4. Step 4: Simplify right side
    6,138.56x = 28,327,559.04
  5. Step 5: Solve for x
    x = 28,327,559.04/6,138.56
  6. Step 6: Final answer
    x = 4,614.69

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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.