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Finding the Fourth Proportional to 3,872.98, 5,805.98 and 1,406.08

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Solution

The fourth proportional to 3,872.98, 5,805.98 and 1,406.08 is: 2,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.98 : 5,805.98 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    3,872.98/5,805.98 = 1,406.08/x
  3. Step 3: Cross multiply
    3,872.98x = 5,805.98 × 1,406.08
  4. Step 4: Simplify right side
    3,872.98x = 8,163,645.20
  5. Step 5: Solve for x
    x = 8,163,645.20/3,872.98
  6. Step 6: Final answer
    x = 2,107.85

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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.