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Finding the Fourth Proportional to 3,919.64, 5,874.78 and 2,987.96

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Solution

The fourth proportional to 3,919.64, 5,874.78 and 2,987.96 is: 4,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,874.78 = 2,987.96 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,874.78 = 2,987.96/x
  3. Step 3: Cross multiply
    3,919.64x = 5,874.78 × 2,987.96
  4. Step 4: Simplify right side
    3,919.64x = 17,553,607.65
  5. Step 5: Solve for x
    x = 17,553,607.65/3,919.64
  6. Step 6: Final answer
    x = 4,478.37

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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.