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Finding the Fourth Proportional to 2,764.26, 3,813.64 and 1,645.26

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Solution

The fourth proportional to 2,764.26, 3,813.64 and 1,645.26 is: 2,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.26 : 3,813.64 = 1,645.26 : x
  2. Step 2: Convert to fraction form
    2,764.26/3,813.64 = 1,645.26/x
  3. Step 3: Cross multiply
    2,764.26x = 3,813.64 × 1,645.26
  4. Step 4: Simplify right side
    2,764.26x = 6,274,429.35
  5. Step 5: Solve for x
    x = 6,274,429.35/2,764.26
  6. Step 6: Final answer
    x = 2,269.84

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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.