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Finding the Fourth Proportional to 3,874.22, 5,808.08 and 2,230.20

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Solution

The fourth proportional to 3,874.22, 5,808.08 and 2,230.20 is: 3,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.22 : 5,808.08 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    3,874.22/5,808.08 = 2,230.20/x
  3. Step 3: Cross multiply
    3,874.22x = 5,808.08 × 2,230.20
  4. Step 4: Simplify right side
    3,874.22x = 12,953,180.02
  5. Step 5: Solve for x
    x = 12,953,180.02/3,874.22
  6. Step 6: Final answer
    x = 3,343.43

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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.