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Finding the Fourth Proportional to 1,912.10, 2,850.17 and 1,702.80

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Solution

The fourth proportional to 1,912.10, 2,850.17 and 1,702.80 is: 2,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.10 : 2,850.17 = 1,702.80 : x
  2. Step 2: Convert to fraction form
    1,912.10/2,850.17 = 1,702.80/x
  3. Step 3: Cross multiply
    1,912.10x = 2,850.17 × 1,702.80
  4. Step 4: Simplify right side
    1,912.10x = 4,853,260.96
  5. Step 5: Solve for x
    x = 4,853,260.96/1,912.10
  6. Step 6: Final answer
    x = 2,538.19

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1.5x scale

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.