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Finding the Fourth Proportional to 2,803.87, 4,206.89 and 1,072.09

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Solution

The fourth proportional to 2,803.87, 4,206.89 and 1,072.09 is: 1,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.87 : 4,206.89 = 1,072.09 : x
  2. Step 2: Convert to fraction form
    2,803.87/4,206.89 = 1,072.09/x
  3. Step 3: Cross multiply
    2,803.87x = 4,206.89 × 1,072.09
  4. Step 4: Simplify right side
    2,803.87x = 4,510,164.70
  5. Step 5: Solve for x
    x = 4,510,164.70/2,803.87
  6. Step 6: Final answer
    x = 1,608.55

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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.