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Finding the Fourth Proportional to 2,806.86, 3,873.01 and 1,627.71

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Solution

The fourth proportional to 2,806.86, 3,873.01 and 1,627.71 is: 2,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.86 : 3,873.01 = 1,627.71 : x
  2. Step 2: Convert to fraction form
    2,806.86/3,873.01 = 1,627.71/x
  3. Step 3: Cross multiply
    2,806.86x = 3,873.01 × 1,627.71
  4. Step 4: Simplify right side
    2,806.86x = 6,304,137.11
  5. Step 5: Solve for x
    x = 6,304,137.11/2,806.86
  6. Step 6: Final answer
    x = 2,245.97

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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.