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Finding the Fourth Proportional to 3,187.44, 4,795.74 and 1,889.82

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Solution

The fourth proportional to 3,187.44, 4,795.74 and 1,889.82 is: 2,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.44 : 4,795.74 = 1,889.82 : x
  2. Step 2: Convert to fraction form
    3,187.44/4,795.74 = 1,889.82/x
  3. Step 3: Cross multiply
    3,187.44x = 4,795.74 × 1,889.82
  4. Step 4: Simplify right side
    3,187.44x = 9,063,085.37
  5. Step 5: Solve for x
    x = 9,063,085.37/3,187.44
  6. Step 6: Final answer
    x = 2,843.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.