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Finding the Fourth Proportional to 11,791.63, 16,277.32 and 7,075

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Solution

The fourth proportional to 11,791.63, 16,277.32 and 7,075 is: 9,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.63 : 16,277.32 = 7,075 : x
  2. Step 2: Convert to fraction form
    11,791.63/16,277.32 = 7,075/x
  3. Step 3: Cross multiply
    11,791.63x = 16,277.32 × 7,075
  4. Step 4: Simplify right side
    11,791.63x = 115,162,039
  5. Step 5: Solve for x
    x = 115,162,039/11,791.63
  6. Step 6: Final answer
    x = 9,766.42

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1.5x scale

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.