Home / 7,836.21-11,760-2,906.55

Finding the Fourth Proportional to 7,836.21, 11,760 and 2,906.55

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Solution

The fourth proportional to 7,836.21, 11,760 and 2,906.55 is: 4,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.21 : 11,760 = 2,906.55 : x
  2. Step 2: Convert to fraction form
    7,836.21/11,760 = 2,906.55/x
  3. Step 3: Cross multiply
    7,836.21x = 11,760 × 2,906.55
  4. Step 4: Simplify right side
    7,836.21x = 34,181,057.40
  5. Step 5: Solve for x
    x = 34,181,057.40/7,836.21
  6. Step 6: Final answer
    x = 4,361.94

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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.