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Finding the Fourth Proportional to 1,984.27, 2,738.28 and 1,100.05

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Solution

The fourth proportional to 1,984.27, 2,738.28 and 1,100.05 is: 1,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.27 : 2,738.28 = 1,100.05 : x
  2. Step 2: Convert to fraction form
    1,984.27/2,738.28 = 1,100.05/x
  3. Step 3: Cross multiply
    1,984.27x = 2,738.28 × 1,100.05
  4. Step 4: Simplify right side
    1,984.27x = 3,012,244.91
  5. Step 5: Solve for x
    x = 3,012,244.91/1,984.27
  6. Step 6: Final answer
    x = 1,518.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.