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Finding the Fourth Proportional to 2,540.84, 3,812.08 and 1,081.22

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Solution

The fourth proportional to 2,540.84, 3,812.08 and 1,081.22 is: 1,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.84 : 3,812.08 = 1,081.22 : x
  2. Step 2: Convert to fraction form
    2,540.84/3,812.08 = 1,081.22/x
  3. Step 3: Cross multiply
    2,540.84x = 3,812.08 × 1,081.22
  4. Step 4: Simplify right side
    2,540.84x = 4,121,697.14
  5. Step 5: Solve for x
    x = 4,121,697.14/2,540.84
  6. Step 6: Final answer
    x = 1,622.18

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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.