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Finding the Fourth Proportional to 6,138.96, 9,213.78 and 3,219.32

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Solution

The fourth proportional to 6,138.96, 9,213.78 and 3,219.32 is: 4,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.96 : 9,213.78 = 3,219.32 : x
  2. Step 2: Convert to fraction form
    6,138.96/9,213.78 = 3,219.32/x
  3. Step 3: Cross multiply
    6,138.96x = 9,213.78 × 3,219.32
  4. Step 4: Simplify right side
    6,138.96x = 29,662,106.23
  5. Step 5: Solve for x
    x = 29,662,106.23/6,138.96
  6. Step 6: Final answer
    x = 4,831.78

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1.5x scale

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.