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Finding the Fourth Proportional to 9,500.97, 13,111.31 and 5,309.22

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Solution

The fourth proportional to 9,500.97, 13,111.31 and 5,309.22 is: 7,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.97 : 13,111.31 = 5,309.22 : x
  2. Step 2: Convert to fraction form
    9,500.97/13,111.31 = 5,309.22/x
  3. Step 3: Cross multiply
    9,500.97x = 13,111.31 × 5,309.22
  4. Step 4: Simplify right side
    9,500.97x = 69,610,891.72
  5. Step 5: Solve for x
    x = 69,610,891.72/9,500.97
  6. Step 6: Final answer
    x = 7,326.71

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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.