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Finding the Fourth Proportional to 5,629.86, 7,768.98 and 3,271.82

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Solution

The fourth proportional to 5,629.86, 7,768.98 and 3,271.82 is: 4,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.86 : 7,768.98 = 3,271.82 : x
  2. Step 2: Convert to fraction form
    5,629.86/7,768.98 = 3,271.82/x
  3. Step 3: Cross multiply
    5,629.86x = 7,768.98 × 3,271.82
  4. Step 4: Simplify right side
    5,629.86x = 25,418,665.30
  5. Step 5: Solve for x
    x = 25,418,665.30/5,629.86
  6. Step 6: Final answer
    x = 4,514.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.