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Finding the Fourth Proportional to 3,201.76, 4,790.22 and 2,808.64

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Solution

The fourth proportional to 3,201.76, 4,790.22 and 2,808.64 is: 4,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.76 : 4,790.22 = 2,808.64 : x
  2. Step 2: Convert to fraction form
    3,201.76/4,790.22 = 2,808.64/x
  3. Step 3: Cross multiply
    3,201.76x = 4,790.22 × 2,808.64
  4. Step 4: Simplify right side
    3,201.76x = 13,454,003.50
  5. Step 5: Solve for x
    x = 13,454,003.50/3,201.76
  6. Step 6: Final answer
    x = 4,202.06

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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.