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Finding the Fourth Proportional to 7,736.21, 11,604.21 and 1,892.87

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Solution

The fourth proportional to 7,736.21, 11,604.21 and 1,892.87 is: 2,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.21 : 11,604.21 = 1,892.87 : x
  2. Step 2: Convert to fraction form
    7,736.21/11,604.21 = 1,892.87/x
  3. Step 3: Cross multiply
    7,736.21x = 11,604.21 × 1,892.87
  4. Step 4: Simplify right side
    7,736.21x = 21,965,202.96
  5. Step 5: Solve for x
    x = 21,965,202.96/7,736.21
  6. Step 6: Final answer
    x = 2,839.27

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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.