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Finding the Fourth Proportional to 6,940.40, 10,410.60 and 6,378.80

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Solution

The fourth proportional to 6,940.40, 10,410.60 and 6,378.80 is: 9,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.40 : 10,410.60 = 6,378.80 : x
  2. Step 2: Convert to fraction form
    6,940.40/10,410.60 = 6,378.80/x
  3. Step 3: Cross multiply
    6,940.40x = 10,410.60 × 6,378.80
  4. Step 4: Simplify right side
    6,940.40x = 66,407,135.28
  5. Step 5: Solve for x
    x = 66,407,135.28/6,940.40
  6. Step 6: Final answer
    x = 9,568.20

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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.