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Finding the Fourth Proportional to 6,138.26, 8,470.83 and 3,343.76

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Solution

The fourth proportional to 6,138.26, 8,470.83 and 3,343.76 is: 4,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.26 : 8,470.83 = 3,343.76 : x
  2. Step 2: Convert to fraction form
    6,138.26/8,470.83 = 3,343.76/x
  3. Step 3: Cross multiply
    6,138.26x = 8,470.83 × 3,343.76
  4. Step 4: Simplify right side
    6,138.26x = 28,324,422.52
  5. Step 5: Solve for x
    x = 28,324,422.52/6,138.26
  6. Step 6: Final answer
    x = 4,614.41

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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.