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Finding the Fourth Proportional to 22,455.73, 30,986.44 and 13,022.47

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Solution

The fourth proportional to 22,455.73, 30,986.44 and 13,022.47 is: 17,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,455.73 : 30,986.44 = 13,022.47 : x
  2. Step 2: Convert to fraction form
    22,455.73/30,986.44 = 13,022.47/x
  3. Step 3: Cross multiply
    22,455.73x = 30,986.44 × 13,022.47
  4. Step 4: Simplify right side
    22,455.73x = 403,519,985.31
  5. Step 5: Solve for x
    x = 403,519,985.31/22,455.73
  6. Step 6: Final answer
    x = 17,969.58

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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.