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Finding the Fourth Proportional to 6,296.86, 9,431.79 and 5,121.28

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Solution

The fourth proportional to 6,296.86, 9,431.79 and 5,121.28 is: 7,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.86 : 9,431.79 = 5,121.28 : x
  2. Step 2: Convert to fraction form
    6,296.86/9,431.79 = 5,121.28/x
  3. Step 3: Cross multiply
    6,296.86x = 9,431.79 × 5,121.28
  4. Step 4: Simplify right side
    6,296.86x = 48,302,837.49
  5. Step 5: Solve for x
    x = 48,302,837.49/6,296.86
  6. Step 6: Final answer
    x = 7,670.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.