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Finding the Fourth Proportional to 3,199.98, 4,411.89 and 2,019

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Solution

The fourth proportional to 3,199.98, 4,411.89 and 2,019 is: 2,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.98 : 4,411.89 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,199.98/4,411.89 = 2,019/x
  3. Step 3: Cross multiply
    3,199.98x = 4,411.89 × 2,019
  4. Step 4: Simplify right side
    3,199.98x = 8,907,605.91
  5. Step 5: Solve for x
    x = 8,907,605.91/3,199.98
  6. Step 6: Final answer
    x = 2,783.64

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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.