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Finding the Fourth Proportional to 2,202, 3,290.82 and 1,767.12

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Solution

The fourth proportional to 2,202, 3,290.82 and 1,767.12 is: 2,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 3,290.82 = 1,767.12 : x
  2. Step 2: Convert to fraction form
    2,202/3,290.82 = 1,767.12/x
  3. Step 3: Cross multiply
    2,202x = 3,290.82 × 1,767.12
  4. Step 4: Simplify right side
    2,202x = 5,815,273.84
  5. Step 5: Solve for x
    x = 5,815,273.84/2,202
  6. Step 6: Final answer
    x = 2,640.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.