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Finding the Fourth Proportional to 17,993.81, 26,963.37 and 11,400

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Solution

The fourth proportional to 17,993.81, 26,963.37 and 11,400 is: 17,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,993.81 : 26,963.37 = 11,400 : x
  2. Step 2: Convert to fraction form
    17,993.81/26,963.37 = 11,400/x
  3. Step 3: Cross multiply
    17,993.81x = 26,963.37 × 11,400
  4. Step 4: Simplify right side
    17,993.81x = 307,382,418
  5. Step 5: Solve for x
    x = 307,382,418/17,993.81
  6. Step 6: Final answer
    x = 17,082.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.