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Finding the Fourth Proportional to 2,003.82, 2,765.30 and 1,119.80

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Solution

The fourth proportional to 2,003.82, 2,765.30 and 1,119.80 is: 1,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.82 : 2,765.30 = 1,119.80 : x
  2. Step 2: Convert to fraction form
    2,003.82/2,765.30 = 1,119.80/x
  3. Step 3: Cross multiply
    2,003.82x = 2,765.30 × 1,119.80
  4. Step 4: Simplify right side
    2,003.82x = 3,096,563.51
  5. Step 5: Solve for x
    x = 3,096,563.51/2,003.82
  6. Step 6: Final answer
    x = 1,545.33

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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.