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Finding the Fourth Proportional to 2,874.78, 3,984.29 and 2,822.94

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Solution

The fourth proportional to 2,874.78, 3,984.29 and 2,822.94 is: 3,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.78 : 3,984.29 = 2,822.94 : x
  2. Step 2: Convert to fraction form
    2,874.78/3,984.29 = 2,822.94/x
  3. Step 3: Cross multiply
    2,874.78x = 3,984.29 × 2,822.94
  4. Step 4: Simplify right side
    2,874.78x = 11,247,397.50
  5. Step 5: Solve for x
    x = 11,247,397.50/2,874.78
  6. Step 6: Final answer
    x = 3,912.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.