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Finding the Fourth Proportional to 2,969.72, 4,091.25 and 2,071.82

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Solution

The fourth proportional to 2,969.72, 4,091.25 and 2,071.82 is: 2,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.72 : 4,091.25 = 2,071.82 : x
  2. Step 2: Convert to fraction form
    2,969.72/4,091.25 = 2,071.82/x
  3. Step 3: Cross multiply
    2,969.72x = 4,091.25 × 2,071.82
  4. Step 4: Simplify right side
    2,969.72x = 8,476,323.22
  5. Step 5: Solve for x
    x = 8,476,323.22/2,969.72
  6. Step 6: Final answer
    x = 2,854.25

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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.