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Finding the Fourth Proportional to 4,619.80, 6,928.90 and 1,696.60

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Solution

The fourth proportional to 4,619.80, 6,928.90 and 1,696.60 is: 2,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.80 : 6,928.90 = 1,696.60 : x
  2. Step 2: Convert to fraction form
    4,619.80/6,928.90 = 1,696.60/x
  3. Step 3: Cross multiply
    4,619.80x = 6,928.90 × 1,696.60
  4. Step 4: Simplify right side
    4,619.80x = 11,755,571.74
  5. Step 5: Solve for x
    x = 11,755,571.74/4,619.80
  6. Step 6: Final answer
    x = 2,544.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.