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Finding the Fourth Proportional to 2,076.41, 3,115.86 and 843.73

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Solution

The fourth proportional to 2,076.41, 3,115.86 and 843.73 is: 1,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.41 : 3,115.86 = 843.73 : x
  2. Step 2: Convert to fraction form
    2,076.41/3,115.86 = 843.73/x
  3. Step 3: Cross multiply
    2,076.41x = 3,115.86 × 843.73
  4. Step 4: Simplify right side
    2,076.41x = 2,628,928.98
  5. Step 5: Solve for x
    x = 2,628,928.98/2,076.41
  6. Step 6: Final answer
    x = 1,266.09

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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.