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Finding the Fourth Proportional to 7,091.09, 9,784.64 and 4,107.22

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Solution

The fourth proportional to 7,091.09, 9,784.64 and 4,107.22 is: 5,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.09 : 9,784.64 = 4,107.22 : x
  2. Step 2: Convert to fraction form
    7,091.09/9,784.64 = 4,107.22/x
  3. Step 3: Cross multiply
    7,091.09x = 9,784.64 × 4,107.22
  4. Step 4: Simplify right side
    7,091.09x = 40,187,599.64
  5. Step 5: Solve for x
    x = 40,187,599.64/7,091.09
  6. Step 6: Final answer
    x = 5,667.34

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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.