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Finding the Fourth Proportional to 2,076.75, 3,115.34 and 843.98

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Solution

The fourth proportional to 2,076.75, 3,115.34 and 843.98 is: 1,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.75 : 3,115.34 = 843.98 : x
  2. Step 2: Convert to fraction form
    2,076.75/3,115.34 = 843.98/x
  3. Step 3: Cross multiply
    2,076.75x = 3,115.34 × 843.98
  4. Step 4: Simplify right side
    2,076.75x = 2,629,271.19
  5. Step 5: Solve for x
    x = 2,629,271.19/2,076.75
  6. Step 6: Final answer
    x = 1,266.05

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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.