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Finding the Fourth Proportional to 3,165.15, 4,745.16 and 2,819.16

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Solution

The fourth proportional to 3,165.15, 4,745.16 and 2,819.16 is: 4,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.15 : 4,745.16 = 2,819.16 : x
  2. Step 2: Convert to fraction form
    3,165.15/4,745.16 = 2,819.16/x
  3. Step 3: Cross multiply
    3,165.15x = 4,745.16 × 2,819.16
  4. Step 4: Simplify right side
    3,165.15x = 13,377,365.27
  5. Step 5: Solve for x
    x = 13,377,365.27/3,165.15
  6. Step 6: Final answer
    x = 4,226.46

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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.