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Finding the Fourth Proportional to 2,891.91, 4,342.76 and 2,743.95

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Solution

The fourth proportional to 2,891.91, 4,342.76 and 2,743.95 is: 4,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.91 : 4,342.76 = 2,743.95 : x
  2. Step 2: Convert to fraction form
    2,891.91/4,342.76 = 2,743.95/x
  3. Step 3: Cross multiply
    2,891.91x = 4,342.76 × 2,743.95
  4. Step 4: Simplify right side
    2,891.91x = 11,916,316.30
  5. Step 5: Solve for x
    x = 11,916,316.30/2,891.91
  6. Step 6: Final answer
    x = 4,120.57

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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.