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Finding the Fourth Proportional to 3,188.44, 4,797.24 and 1,890.82

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Solution

The fourth proportional to 3,188.44, 4,797.24 and 1,890.82 is: 2,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.44 : 4,797.24 = 1,890.82 : x
  2. Step 2: Convert to fraction form
    3,188.44/4,797.24 = 1,890.82/x
  3. Step 3: Cross multiply
    3,188.44x = 4,797.24 × 1,890.82
  4. Step 4: Simplify right side
    3,188.44x = 9,070,717.34
  5. Step 5: Solve for x
    x = 9,070,717.34/3,188.44
  6. Step 6: Final answer
    x = 2,844.88

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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.