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Finding the Fourth Proportional to 6,190.25, 8,539.70 and 3,951

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Solution

The fourth proportional to 6,190.25, 8,539.70 and 3,951 is: 5,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.25 : 8,539.70 = 3,951 : x
  2. Step 2: Convert to fraction form
    6,190.25/8,539.70 = 3,951/x
  3. Step 3: Cross multiply
    6,190.25x = 8,539.70 × 3,951
  4. Step 4: Simplify right side
    6,190.25x = 33,740,334.95
  5. Step 5: Solve for x
    x = 33,740,334.95/6,190.25
  6. Step 6: Final answer
    x = 5,450.57

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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.