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Finding the Fourth Proportional to 6,821.40, 10,241.70 and 4,229.40

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Solution

The fourth proportional to 6,821.40, 10,241.70 and 4,229.40 is: 6,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.40 : 10,241.70 = 4,229.40 : x
  2. Step 2: Convert to fraction form
    6,821.40/10,241.70 = 4,229.40/x
  3. Step 3: Cross multiply
    6,821.40x = 10,241.70 × 4,229.40
  4. Step 4: Simplify right side
    6,821.40x = 43,316,245.98
  5. Step 5: Solve for x
    x = 43,316,245.98/6,821.40
  6. Step 6: Final answer
    x = 6,350.05

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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.