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Finding the Fourth Proportional to 1,960.57, 2,702.97 and 1,679.60

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Solution

The fourth proportional to 1,960.57, 2,702.97 and 1,679.60 is: 2,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.57 : 2,702.97 = 1,679.60 : x
  2. Step 2: Convert to fraction form
    1,960.57/2,702.97 = 1,679.60/x
  3. Step 3: Cross multiply
    1,960.57x = 2,702.97 × 1,679.60
  4. Step 4: Simplify right side
    1,960.57x = 4,539,915.17
  5. Step 5: Solve for x
    x = 4,539,915.17/1,960.57
  6. Step 6: Final answer
    x = 2,315.61

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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.