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Finding the Fourth Proportional to 6,138.91, 8,471.69 and 3,344.41

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Solution

The fourth proportional to 6,138.91, 8,471.69 and 3,344.41 is: 4,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.91 : 8,471.69 = 3,344.41 : x
  2. Step 2: Convert to fraction form
    6,138.91/8,471.69 = 3,344.41/x
  3. Step 3: Cross multiply
    6,138.91x = 8,471.69 × 3,344.41
  4. Step 4: Simplify right side
    6,138.91x = 28,332,804.75
  5. Step 5: Solve for x
    x = 28,332,804.75/6,138.91
  6. Step 6: Final answer
    x = 4,615.28

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1.5x scale

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.