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Finding the Fourth Proportional to 3,855.60, 5,769.72 and 2,395.44

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Solution

The fourth proportional to 3,855.60, 5,769.72 and 2,395.44 is: 3,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.60 : 5,769.72 = 2,395.44 : x
  2. Step 2: Convert to fraction form
    3,855.60/5,769.72 = 2,395.44/x
  3. Step 3: Cross multiply
    3,855.60x = 5,769.72 × 2,395.44
  4. Step 4: Simplify right side
    3,855.60x = 13,821,018.08
  5. Step 5: Solve for x
    x = 13,821,018.08/3,855.60
  6. Step 6: Final answer
    x = 3,584.66

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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.