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Finding the Fourth Proportional to 6,824.73, 9,418.07 and 3,840.49

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Solution

The fourth proportional to 6,824.73, 9,418.07 and 3,840.49 is: 5,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.73 : 9,418.07 = 3,840.49 : x
  2. Step 2: Convert to fraction form
    6,824.73/9,418.07 = 3,840.49/x
  3. Step 3: Cross multiply
    6,824.73x = 9,418.07 × 3,840.49
  4. Step 4: Simplify right side
    6,824.73x = 36,170,025.03
  5. Step 5: Solve for x
    x = 36,170,025.03/6,824.73
  6. Step 6: Final answer
    x = 5,299.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.