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Finding the Fourth Proportional to 31,175.94, 43,022.79 and 17,028.82

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Solution

The fourth proportional to 31,175.94, 43,022.79 and 17,028.82 is: 23,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.94 : 43,022.79 = 17,028.82 : x
  2. Step 2: Convert to fraction form
    31,175.94/43,022.79 = 17,028.82/x
  3. Step 3: Cross multiply
    31,175.94x = 43,022.79 × 17,028.82
  4. Step 4: Simplify right side
    31,175.94x = 732,627,346.81
  5. Step 5: Solve for x
    x = 732,627,346.81/31,175.94
  6. Step 6: Final answer
    x = 23,499.77

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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.