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Finding the Fourth Proportional to 5,251.88, 7,879.22 and 1,965.30

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Solution

The fourth proportional to 5,251.88, 7,879.22 and 1,965.30 is: 2,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.88 : 7,879.22 = 1,965.30 : x
  2. Step 2: Convert to fraction form
    5,251.88/7,879.22 = 1,965.30/x
  3. Step 3: Cross multiply
    5,251.88x = 7,879.22 × 1,965.30
  4. Step 4: Simplify right side
    5,251.88x = 15,485,021.24
  5. Step 5: Solve for x
    x = 15,485,021.24/5,251.88
  6. Step 6: Final answer
    x = 2,948.47

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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.