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Finding the Fourth Proportional to 7,107.80, 9,805.73 and 5,216.09

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Solution

The fourth proportional to 7,107.80, 9,805.73 and 5,216.09 is: 7,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.80 : 9,805.73 = 5,216.09 : x
  2. Step 2: Convert to fraction form
    7,107.80/9,805.73 = 5,216.09/x
  3. Step 3: Cross multiply
    7,107.80x = 9,805.73 × 5,216.09
  4. Step 4: Simplify right side
    7,107.80x = 51,147,570.20
  5. Step 5: Solve for x
    x = 51,147,570.20/7,107.80
  6. Step 6: Final answer
    x = 7,195.98

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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.