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Finding the Fourth Proportional to 7,190.98, 10,770.86 and 3,485.43

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Solution

The fourth proportional to 7,190.98, 10,770.86 and 3,485.43 is: 5,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.98 : 10,770.86 = 3,485.43 : x
  2. Step 2: Convert to fraction form
    7,190.98/10,770.86 = 3,485.43/x
  3. Step 3: Cross multiply
    7,190.98x = 10,770.86 × 3,485.43
  4. Step 4: Simplify right side
    7,190.98x = 37,541,087.28
  5. Step 5: Solve for x
    x = 37,541,087.28/7,190.98
  6. Step 6: Final answer
    x = 5,220.58

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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.