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Finding the Fourth Proportional to 2,791.94, 3,852.50 and 2,226.20

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Solution

The fourth proportional to 2,791.94, 3,852.50 and 2,226.20 is: 3,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.94 : 3,852.50 = 2,226.20 : x
  2. Step 2: Convert to fraction form
    2,791.94/3,852.50 = 2,226.20/x
  3. Step 3: Cross multiply
    2,791.94x = 3,852.50 × 2,226.20
  4. Step 4: Simplify right side
    2,791.94x = 8,576,435.50
  5. Step 5: Solve for x
    x = 8,576,435.50/2,791.94
  6. Step 6: Final answer
    x = 3,071.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.