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Finding the Fourth Proportional to 2,149.00, 3,222.75 and 1,109.54

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Solution

The fourth proportional to 2,149.00, 3,222.75 and 1,109.54 is: 1,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.00 : 3,222.75 = 1,109.54 : x
  2. Step 2: Convert to fraction form
    2,149.00/3,222.75 = 1,109.54/x
  3. Step 3: Cross multiply
    2,149.00x = 3,222.75 × 1,109.54
  4. Step 4: Simplify right side
    2,149.00x = 3,575,770.04
  5. Step 5: Solve for x
    x = 3,575,770.04/2,149.00
  6. Step 6: Final answer
    x = 1,663.93

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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.