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Finding the Fourth Proportional to 3,858.01, 5,786.98 and 936.32

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Solution

The fourth proportional to 3,858.01, 5,786.98 and 936.32 is: 1,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.01 : 5,786.98 = 936.32 : x
  2. Step 2: Convert to fraction form
    3,858.01/5,786.98 = 936.32/x
  3. Step 3: Cross multiply
    3,858.01x = 5,786.98 × 936.32
  4. Step 4: Simplify right side
    3,858.01x = 5,418,450.11
  5. Step 5: Solve for x
    x = 5,418,450.11/3,858.01
  6. Step 6: Final answer
    x = 1,404.47

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