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Finding the Fourth Proportional to 3,919.86, 5,877.36 and 2,069.82

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Solution

The fourth proportional to 3,919.86, 5,877.36 and 2,069.82 is: 3,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.86 : 5,877.36 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    3,919.86/5,877.36 = 2,069.82/x
  3. Step 3: Cross multiply
    3,919.86x = 5,877.36 × 2,069.82
  4. Step 4: Simplify right side
    3,919.86x = 12,165,077.28
  5. Step 5: Solve for x
    x = 12,165,077.28/3,919.86
  6. Step 6: Final answer
    x = 3,103.45

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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.