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Finding the Fourth Proportional to 2,791.69, 4,188.25 and 1,971.57

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Solution

The fourth proportional to 2,791.69, 4,188.25 and 1,971.57 is: 2,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.69 : 4,188.25 = 1,971.57 : x
  2. Step 2: Convert to fraction form
    2,791.69/4,188.25 = 1,971.57/x
  3. Step 3: Cross multiply
    2,791.69x = 4,188.25 × 1,971.57
  4. Step 4: Simplify right side
    2,791.69x = 8,257,428.05
  5. Step 5: Solve for x
    x = 8,257,428.05/2,791.69
  6. Step 6: Final answer
    x = 2,957.86

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Why These Related Problems?

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