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Finding the Fourth Proportional to 5,616.95, 8,425.89 and 1,919.43

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Solution

The fourth proportional to 5,616.95, 8,425.89 and 1,919.43 is: 2,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.95 : 8,425.89 = 1,919.43 : x
  2. Step 2: Convert to fraction form
    5,616.95/8,425.89 = 1,919.43/x
  3. Step 3: Cross multiply
    5,616.95x = 8,425.89 × 1,919.43
  4. Step 4: Simplify right side
    5,616.95x = 16,172,906.04
  5. Step 5: Solve for x
    x = 16,172,906.04/5,616.95
  6. Step 6: Final answer
    x = 2,879.31

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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.