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Finding the Fourth Proportional to 2,813.22, 4,220.13 and 963.99

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Solution

The fourth proportional to 2,813.22, 4,220.13 and 963.99 is: 1,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.22 : 4,220.13 = 963.99 : x
  2. Step 2: Convert to fraction form
    2,813.22/4,220.13 = 963.99/x
  3. Step 3: Cross multiply
    2,813.22x = 4,220.13 × 963.99
  4. Step 4: Simplify right side
    2,813.22x = 4,068,163.12
  5. Step 5: Solve for x
    x = 4,068,163.12/2,813.22
  6. Step 6: Final answer
    x = 1,446.09

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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.