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Finding the Fourth Proportional to 8,272.48, 11,382.67 and 8,075.65

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Solution

The fourth proportional to 8,272.48, 11,382.67 and 8,075.65 is: 11,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.48 : 11,382.67 = 8,075.65 : x
  2. Step 2: Convert to fraction form
    8,272.48/11,382.67 = 8,075.65/x
  3. Step 3: Cross multiply
    8,272.48x = 11,382.67 × 8,075.65
  4. Step 4: Simplify right side
    8,272.48x = 91,922,458.99
  5. Step 5: Solve for x
    x = 91,922,458.99/8,272.48
  6. Step 6: Final answer
    x = 11,111.84

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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.