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Finding the Fourth Proportional to 5,344.26, 7,375.50 and 3,106.80

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Solution

The fourth proportional to 5,344.26, 7,375.50 and 3,106.80 is: 4,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.26 : 7,375.50 = 3,106.80 : x
  2. Step 2: Convert to fraction form
    5,344.26/7,375.50 = 3,106.80/x
  3. Step 3: Cross multiply
    5,344.26x = 7,375.50 × 3,106.80
  4. Step 4: Simplify right side
    5,344.26x = 22,914,203.40
  5. Step 5: Solve for x
    x = 22,914,203.40/5,344.26
  6. Step 6: Final answer
    x = 4,287.63

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