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Finding the Fourth Proportional to 5,305.86, 7,958.79 and 2,018.18

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Solution

The fourth proportional to 5,305.86, 7,958.79 and 2,018.18 is: 3,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.86 : 7,958.79 = 2,018.18 : x
  2. Step 2: Convert to fraction form
    5,305.86/7,958.79 = 2,018.18/x
  3. Step 3: Cross multiply
    5,305.86x = 7,958.79 × 2,018.18
  4. Step 4: Simplify right side
    5,305.86x = 16,062,290.70
  5. Step 5: Solve for x
    x = 16,062,290.70/5,305.86
  6. Step 6: Final answer
    x = 3,027.27

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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.