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Finding the Fourth Proportional to 13,022.22, 17,963.49 and 7,716.06

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Solution

The fourth proportional to 13,022.22, 17,963.49 and 7,716.06 is: 10,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.22 : 17,963.49 = 7,716.06 : x
  2. Step 2: Convert to fraction form
    13,022.22/17,963.49 = 7,716.06/x
  3. Step 3: Cross multiply
    13,022.22x = 17,963.49 × 7,716.06
  4. Step 4: Simplify right side
    13,022.22x = 138,607,366.65
  5. Step 5: Solve for x
    x = 138,607,366.65/13,022.22
  6. Step 6: Final answer
    x = 10,643.91

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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.