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Finding the Fourth Proportional to 2,751.81, 3,796.90 and 1,633.15

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Solution

The fourth proportional to 2,751.81, 3,796.90 and 1,633.15 is: 2,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.81 : 3,796.90 = 1,633.15 : x
  2. Step 2: Convert to fraction form
    2,751.81/3,796.90 = 1,633.15/x
  3. Step 3: Cross multiply
    2,751.81x = 3,796.90 × 1,633.15
  4. Step 4: Simplify right side
    2,751.81x = 6,200,907.24
  5. Step 5: Solve for x
    x = 6,200,907.24/2,751.81
  6. Step 6: Final answer
    x = 2,253.39

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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.