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Finding the Fourth Proportional to 1,912.10, 2,850.17 and 1,702.78

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Solution

The fourth proportional to 1,912.10, 2,850.17 and 1,702.78 is: 2,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.10 : 2,850.17 = 1,702.78 : x
  2. Step 2: Convert to fraction form
    1,912.10/2,850.17 = 1,702.78/x
  3. Step 3: Cross multiply
    1,912.10x = 2,850.17 × 1,702.78
  4. Step 4: Simplify right side
    1,912.10x = 4,853,196.83
  5. Step 5: Solve for x
    x = 4,853,196.83/1,912.10
  6. Step 6: Final answer
    x = 2,538.16

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