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Finding the Fourth Proportional to 2,203.17, 3,040.41 and 1,208.47

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Solution

The fourth proportional to 2,203.17, 3,040.41 and 1,208.47 is: 1,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.17 : 3,040.41 = 1,208.47 : x
  2. Step 2: Convert to fraction form
    2,203.17/3,040.41 = 1,208.47/x
  3. Step 3: Cross multiply
    2,203.17x = 3,040.41 × 1,208.47
  4. Step 4: Simplify right side
    2,203.17x = 3,674,243.51
  5. Step 5: Solve for x
    x = 3,674,243.51/2,203.17
  6. Step 6: Final answer
    x = 1,667.70

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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.