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Finding the Fourth Proportional to 3,857.44, 5,794 and 3,405.46

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Solution

The fourth proportional to 3,857.44, 5,794 and 3,405.46 is: 5,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.44 : 5,794 = 3,405.46 : x
  2. Step 2: Convert to fraction form
    3,857.44/5,794 = 3,405.46/x
  3. Step 3: Cross multiply
    3,857.44x = 5,794 × 3,405.46
  4. Step 4: Simplify right side
    3,857.44x = 19,731,235.24
  5. Step 5: Solve for x
    x = 19,731,235.24/3,857.44
  6. Step 6: Final answer
    x = 5,115.11

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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.