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Finding the Fourth Proportional to 2,191, 3,284.88 and 729.28

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Solution

The fourth proportional to 2,191, 3,284.88 and 729.28 is: 1,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,284.88 = 729.28 : x
  2. Step 2: Convert to fraction form
    2,191/3,284.88 = 729.28/x
  3. Step 3: Cross multiply
    2,191x = 3,284.88 × 729.28
  4. Step 4: Simplify right side
    2,191x = 2,395,597.29
  5. Step 5: Solve for x
    x = 2,395,597.29/2,191
  6. Step 6: Final answer
    x = 1,093.38

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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.