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Finding the Fourth Proportional to 2,735.32, 3,772.72 and 1,789.64

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Solution

The fourth proportional to 2,735.32, 3,772.72 and 1,789.64 is: 2,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.32 : 3,772.72 = 1,789.64 : x
  2. Step 2: Convert to fraction form
    2,735.32/3,772.72 = 1,789.64/x
  3. Step 3: Cross multiply
    2,735.32x = 3,772.72 × 1,789.64
  4. Step 4: Simplify right side
    2,735.32x = 6,751,810.62
  5. Step 5: Solve for x
    x = 6,751,810.62/2,735.32
  6. Step 6: Final answer
    x = 2,468.38

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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.