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Finding the Fourth Proportional to 3,880.62, 5,821.92 and 1,107.30

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Solution

The fourth proportional to 3,880.62, 5,821.92 and 1,107.30 is: 1,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.62 : 5,821.92 = 1,107.30 : x
  2. Step 2: Convert to fraction form
    3,880.62/5,821.92 = 1,107.30/x
  3. Step 3: Cross multiply
    3,880.62x = 5,821.92 × 1,107.30
  4. Step 4: Simplify right side
    3,880.62x = 6,446,635.67
  5. Step 5: Solve for x
    x = 6,446,635.67/3,880.62
  6. Step 6: Final answer
    x = 1,661.24

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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.