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Finding the Fourth Proportional to 2,050.95, 3,077.19 and 1,229.82

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Solution

The fourth proportional to 2,050.95, 3,077.19 and 1,229.82 is: 1,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.95 : 3,077.19 = 1,229.82 : x
  2. Step 2: Convert to fraction form
    2,050.95/3,077.19 = 1,229.82/x
  3. Step 3: Cross multiply
    2,050.95x = 3,077.19 × 1,229.82
  4. Step 4: Simplify right side
    2,050.95x = 3,784,389.81
  5. Step 5: Solve for x
    x = 3,784,389.81/2,050.95
  6. Step 6: Final answer
    x = 1,845.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.