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Finding the Fourth Proportional to 2,003.63, 2,765.08 and 1,119.49

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Solution

The fourth proportional to 2,003.63, 2,765.08 and 1,119.49 is: 1,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.63 : 2,765.08 = 1,119.49 : x
  2. Step 2: Convert to fraction form
    2,003.63/2,765.08 = 1,119.49/x
  3. Step 3: Cross multiply
    2,003.63x = 2,765.08 × 1,119.49
  4. Step 4: Simplify right side
    2,003.63x = 3,095,469.70
  5. Step 5: Solve for x
    x = 3,095,469.70/2,003.63
  6. Step 6: Final answer
    x = 1,544.93

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Why These Related Problems?

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