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Finding the Fourth Proportional to 3,998.16, 5,994 and 3,379.32

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Solution

The fourth proportional to 3,998.16, 5,994 and 3,379.32 is: 5,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.16 : 5,994 = 3,379.32 : x
  2. Step 2: Convert to fraction form
    3,998.16/5,994 = 3,379.32/x
  3. Step 3: Cross multiply
    3,998.16x = 5,994 × 3,379.32
  4. Step 4: Simplify right side
    3,998.16x = 20,255,644.08
  5. Step 5: Solve for x
    x = 20,255,644.08/3,998.16
  6. Step 6: Final answer
    x = 5,066.24

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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.