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Finding the Fourth Proportional to 3,201.55, 4,794.01 and 2,742.28

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Solution

The fourth proportional to 3,201.55, 4,794.01 and 2,742.28 is: 4,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.55 : 4,794.01 = 2,742.28 : x
  2. Step 2: Convert to fraction form
    3,201.55/4,794.01 = 2,742.28/x
  3. Step 3: Cross multiply
    3,201.55x = 4,794.01 × 2,742.28
  4. Step 4: Simplify right side
    3,201.55x = 13,146,517.74
  5. Step 5: Solve for x
    x = 13,146,517.74/3,201.55
  6. Step 6: Final answer
    x = 4,106.30

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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.