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Finding the Fourth Proportional to 3,855.39, 5,320.44 and 2,087

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Solution

The fourth proportional to 3,855.39, 5,320.44 and 2,087 is: 2,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.39 : 5,320.44 = 2,087 : x
  2. Step 2: Convert to fraction form
    3,855.39/5,320.44 = 2,087/x
  3. Step 3: Cross multiply
    3,855.39x = 5,320.44 × 2,087
  4. Step 4: Simplify right side
    3,855.39x = 11,103,758.28
  5. Step 5: Solve for x
    x = 11,103,758.28/3,855.39
  6. Step 6: Final answer
    x = 2,880.06

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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.