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Finding the Fourth Proportional to 3,868.70, 5,800.01 and 1,919.84

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Solution

The fourth proportional to 3,868.70, 5,800.01 and 1,919.84 is: 2,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.70 : 5,800.01 = 1,919.84 : x
  2. Step 2: Convert to fraction form
    3,868.70/5,800.01 = 1,919.84/x
  3. Step 3: Cross multiply
    3,868.70x = 5,800.01 × 1,919.84
  4. Step 4: Simplify right side
    3,868.70x = 11,135,052.60
  5. Step 5: Solve for x
    x = 11,135,052.60/3,868.70
  6. Step 6: Final answer
    x = 2,878.25

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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.