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Finding the Fourth Proportional to 6,441.49, 9,662.36 and 4,234.39

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Solution

The fourth proportional to 6,441.49, 9,662.36 and 4,234.39 is: 6,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.49 : 9,662.36 = 4,234.39 : x
  2. Step 2: Convert to fraction form
    6,441.49/9,662.36 = 4,234.39/x
  3. Step 3: Cross multiply
    6,441.49x = 9,662.36 × 4,234.39
  4. Step 4: Simplify right side
    6,441.49x = 40,914,204.55
  5. Step 5: Solve for x
    x = 40,914,204.55/6,441.49
  6. Step 6: Final answer
    x = 6,351.66

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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.