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Finding the Fourth Proportional to 2,813.54, 4,220.31 and 733.54

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Solution

The fourth proportional to 2,813.54, 4,220.31 and 733.54 is: 1,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.54 : 4,220.31 = 733.54 : x
  2. Step 2: Convert to fraction form
    2,813.54/4,220.31 = 733.54/x
  3. Step 3: Cross multiply
    2,813.54x = 4,220.31 × 733.54
  4. Step 4: Simplify right side
    2,813.54x = 3,095,764.94
  5. Step 5: Solve for x
    x = 3,095,764.94/2,813.54
  6. Step 6: Final answer
    x = 1,100.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.