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Finding the Fourth Proportional to 2,700.82, 4,051.07 and 969.22

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Solution

The fourth proportional to 2,700.82, 4,051.07 and 969.22 is: 1,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.82 : 4,051.07 = 969.22 : x
  2. Step 2: Convert to fraction form
    2,700.82/4,051.07 = 969.22/x
  3. Step 3: Cross multiply
    2,700.82x = 4,051.07 × 969.22
  4. Step 4: Simplify right side
    2,700.82x = 3,926,378.07
  5. Step 5: Solve for x
    x = 3,926,378.07/2,700.82
  6. Step 6: Final answer
    x = 1,453.77

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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.