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Finding the Fourth Proportional to 3,855.36, 5,780.61 and 1,662.96

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Solution

The fourth proportional to 3,855.36, 5,780.61 and 1,662.96 is: 2,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.36 : 5,780.61 = 1,662.96 : x
  2. Step 2: Convert to fraction form
    3,855.36/5,780.61 = 1,662.96/x
  3. Step 3: Cross multiply
    3,855.36x = 5,780.61 × 1,662.96
  4. Step 4: Simplify right side
    3,855.36x = 9,612,923.21
  5. Step 5: Solve for x
    x = 9,612,923.21/3,855.36
  6. Step 6: Final answer
    x = 2,493.39

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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.