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Finding the Fourth Proportional to 1,956.90, 2,702.25 and 1,863.54

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Solution

The fourth proportional to 1,956.90, 2,702.25 and 1,863.54 is: 2,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.90 : 2,702.25 = 1,863.54 : x
  2. Step 2: Convert to fraction form
    1,956.90/2,702.25 = 1,863.54/x
  3. Step 3: Cross multiply
    1,956.90x = 2,702.25 × 1,863.54
  4. Step 4: Simplify right side
    1,956.90x = 5,035,750.97
  5. Step 5: Solve for x
    x = 5,035,750.97/1,956.90
  6. Step 6: Final answer
    x = 2,573.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.