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Finding the Fourth Proportional to 2,882.73, 3,978.05 and 1,763.71

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Solution

The fourth proportional to 2,882.73, 3,978.05 and 1,763.71 is: 2,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.73 : 3,978.05 = 1,763.71 : x
  2. Step 2: Convert to fraction form
    2,882.73/3,978.05 = 1,763.71/x
  3. Step 3: Cross multiply
    2,882.73x = 3,978.05 × 1,763.71
  4. Step 4: Simplify right side
    2,882.73x = 7,016,126.57
  5. Step 5: Solve for x
    x = 7,016,126.57/2,882.73
  6. Step 6: Final answer
    x = 2,433.85

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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.