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Finding the Fourth Proportional to 2,185.45, 3,276.45 and 1,089.25

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Solution

The fourth proportional to 2,185.45, 3,276.45 and 1,089.25 is: 1,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.45 : 3,276.45 = 1,089.25 : x
  2. Step 2: Convert to fraction form
    2,185.45/3,276.45 = 1,089.25/x
  3. Step 3: Cross multiply
    2,185.45x = 3,276.45 × 1,089.25
  4. Step 4: Simplify right side
    2,185.45x = 3,568,864.97
  5. Step 5: Solve for x
    x = 3,568,864.97/2,185.45
  6. Step 6: Final answer
    x = 1,633.01

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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.