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Finding the Fourth Proportional to 2,203, 3,040.19 and 1,208.37

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Solution

The fourth proportional to 2,203, 3,040.19 and 1,208.37 is: 1,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203 : 3,040.19 = 1,208.37 : x
  2. Step 2: Convert to fraction form
    2,203/3,040.19 = 1,208.37/x
  3. Step 3: Cross multiply
    2,203x = 3,040.19 × 1,208.37
  4. Step 4: Simplify right side
    2,203x = 3,673,674.39
  5. Step 5: Solve for x
    x = 3,673,674.39/2,203
  6. Step 6: Final answer
    x = 1,667.58

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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.