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Finding the Fourth Proportional to 3,855.80, 5,321 and 2,087.42

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Solution

The fourth proportional to 3,855.80, 5,321 and 2,087.42 is: 2,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.80 : 5,321 = 2,087.42 : x
  2. Step 2: Convert to fraction form
    3,855.80/5,321 = 2,087.42/x
  3. Step 3: Cross multiply
    3,855.80x = 5,321 × 2,087.42
  4. Step 4: Simplify right side
    3,855.80x = 11,107,161.82
  5. Step 5: Solve for x
    x = 11,107,161.82/3,855.80
  6. Step 6: Final answer
    x = 2,880.64

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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.