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Finding the Fourth Proportional to 6,830.28, 10,245.48 and 2,213.28

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Solution

The fourth proportional to 6,830.28, 10,245.48 and 2,213.28 is: 3,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.28 : 10,245.48 = 2,213.28 : x
  2. Step 2: Convert to fraction form
    6,830.28/10,245.48 = 2,213.28/x
  3. Step 3: Cross multiply
    6,830.28x = 10,245.48 × 2,213.28
  4. Step 4: Simplify right side
    6,830.28x = 22,676,115.97
  5. Step 5: Solve for x
    x = 22,676,115.97/6,830.28
  6. Step 6: Final answer
    x = 3,319.94

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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.