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Finding the Fourth Proportional to 5,219.88, 7,821.16 and 3,756.84

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Solution

The fourth proportional to 5,219.88, 7,821.16 and 3,756.84 is: 5,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.88 : 7,821.16 = 3,756.84 : x
  2. Step 2: Convert to fraction form
    5,219.88/7,821.16 = 3,756.84/x
  3. Step 3: Cross multiply
    5,219.88x = 7,821.16 × 3,756.84
  4. Step 4: Simplify right side
    5,219.88x = 29,382,846.73
  5. Step 5: Solve for x
    x = 29,382,846.73/5,219.88
  6. Step 6: Final answer
    x = 5,629.03

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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.