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Finding the Fourth Proportional to 1,889.58, 2,815.20 and 1,796.64

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Solution

The fourth proportional to 1,889.58, 2,815.20 and 1,796.64 is: 2,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.58 : 2,815.20 = 1,796.64 : x
  2. Step 2: Convert to fraction form
    1,889.58/2,815.20 = 1,796.64/x
  3. Step 3: Cross multiply
    1,889.58x = 2,815.20 × 1,796.64
  4. Step 4: Simplify right side
    1,889.58x = 5,057,900.93
  5. Step 5: Solve for x
    x = 5,057,900.93/1,889.58
  6. Step 6: Final answer
    x = 2,676.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.