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Finding the Fourth Proportional to 5,190.74, 7,786.59 and 2,069.99

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Solution

The fourth proportional to 5,190.74, 7,786.59 and 2,069.99 is: 3,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.74 : 7,786.59 = 2,069.99 : x
  2. Step 2: Convert to fraction form
    5,190.74/7,786.59 = 2,069.99/x
  3. Step 3: Cross multiply
    5,190.74x = 7,786.59 × 2,069.99
  4. Step 4: Simplify right side
    5,190.74x = 16,118,163.43
  5. Step 5: Solve for x
    x = 16,118,163.43/5,190.74
  6. Step 6: Final answer
    x = 3,105.18

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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.