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Finding the Fourth Proportional to 2,815.08, 4,218 and 965.21

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Solution

The fourth proportional to 2,815.08, 4,218 and 965.21 is: 1,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.08 : 4,218 = 965.21 : x
  2. Step 2: Convert to fraction form
    2,815.08/4,218 = 965.21/x
  3. Step 3: Cross multiply
    2,815.08x = 4,218 × 965.21
  4. Step 4: Simplify right side
    2,815.08x = 4,071,234.69
  5. Step 5: Solve for x
    x = 4,071,234.69/2,815.08
  6. Step 6: Final answer
    x = 1,446.22

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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.