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Finding the Fourth Proportional to 11,201, 16,801.50 and 2,993

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Solution

The fourth proportional to 11,201, 16,801.50 and 2,993 is: 4,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201 : 16,801.50 = 2,993 : x
  2. Step 2: Convert to fraction form
    11,201/16,801.50 = 2,993/x
  3. Step 3: Cross multiply
    11,201x = 16,801.50 × 2,993
  4. Step 4: Simplify right side
    11,201x = 50,286,889.50
  5. Step 5: Solve for x
    x = 50,286,889.50/11,201
  6. Step 6: Final answer
    x = 4,489.50

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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.