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Finding the Fourth Proportional to 3,999.36, 5,992 and 3,416.32

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Solution

The fourth proportional to 3,999.36, 5,992 and 3,416.32 is: 5,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.36 : 5,992 = 3,416.32 : x
  2. Step 2: Convert to fraction form
    3,999.36/5,992 = 3,416.32/x
  3. Step 3: Cross multiply
    3,999.36x = 5,992 × 3,416.32
  4. Step 4: Simplify right side
    3,999.36x = 20,470,589.44
  5. Step 5: Solve for x
    x = 20,470,589.44/3,999.36
  6. Step 6: Final answer
    x = 5,118.47

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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.