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Finding the Fourth Proportional to 22,991, 31,727.61 and 13,055

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Solution

The fourth proportional to 22,991, 31,727.61 and 13,055 is: 18,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991 : 31,727.61 = 13,055 : x
  2. Step 2: Convert to fraction form
    22,991/31,727.61 = 13,055/x
  3. Step 3: Cross multiply
    22,991x = 31,727.61 × 13,055
  4. Step 4: Simplify right side
    22,991x = 414,203,948.55
  5. Step 5: Solve for x
    x = 414,203,948.55/22,991
  6. Step 6: Final answer
    x = 18,015.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.