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Finding the Fourth Proportional to 3,450.92, 4,761.46 and 1,958.50

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Solution

The fourth proportional to 3,450.92, 4,761.46 and 1,958.50 is: 2,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.92 : 4,761.46 = 1,958.50 : x
  2. Step 2: Convert to fraction form
    3,450.92/4,761.46 = 1,958.50/x
  3. Step 3: Cross multiply
    3,450.92x = 4,761.46 × 1,958.50
  4. Step 4: Simplify right side
    3,450.92x = 9,325,319.41
  5. Step 5: Solve for x
    x = 9,325,319.41/3,450.92
  6. Step 6: Final answer
    x = 2,702.27

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1.5x scale

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.