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Finding the Fourth Proportional to 2,813.00, 4,219.83 and 964.44

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Solution

The fourth proportional to 2,813.00, 4,219.83 and 964.44 is: 1,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.00 : 4,219.83 = 964.44 : x
  2. Step 2: Convert to fraction form
    2,813.00/4,219.83 = 964.44/x
  3. Step 3: Cross multiply
    2,813.00x = 4,219.83 × 964.44
  4. Step 4: Simplify right side
    2,813.00x = 4,069,772.85
  5. Step 5: Solve for x
    x = 4,069,772.85/2,813.00
  6. Step 6: Final answer
    x = 1,446.78

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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.