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Finding the Fourth Proportional to 11,132.88, 16,696.44 and 5,205.84

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Solution

The fourth proportional to 11,132.88, 16,696.44 and 5,205.84 is: 7,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.88 : 16,696.44 = 5,205.84 : x
  2. Step 2: Convert to fraction form
    11,132.88/16,696.44 = 5,205.84/x
  3. Step 3: Cross multiply
    11,132.88x = 16,696.44 × 5,205.84
  4. Step 4: Simplify right side
    11,132.88x = 86,918,995.21
  5. Step 5: Solve for x
    x = 86,918,995.21/11,132.88
  6. Step 6: Final answer
    x = 7,807.41

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