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Finding the Fourth Proportional to 3,880.37, 5,821.07 and 1,800.09

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Solution

The fourth proportional to 3,880.37, 5,821.07 and 1,800.09 is: 2,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.37 : 5,821.07 = 1,800.09 : x
  2. Step 2: Convert to fraction form
    3,880.37/5,821.07 = 1,800.09/x
  3. Step 3: Cross multiply
    3,880.37x = 5,821.07 × 1,800.09
  4. Step 4: Simplify right side
    3,880.37x = 10,478,440.90
  5. Step 5: Solve for x
    x = 10,478,440.90/3,880.37
  6. Step 6: Final answer
    x = 2,700.37

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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.