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Finding the Fourth Proportional to 2,916, 4,025.52 and 2,743.20

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Solution

The fourth proportional to 2,916, 4,025.52 and 2,743.20 is: 3,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916 : 4,025.52 = 2,743.20 : x
  2. Step 2: Convert to fraction form
    2,916/4,025.52 = 2,743.20/x
  3. Step 3: Cross multiply
    2,916x = 4,025.52 × 2,743.20
  4. Step 4: Simplify right side
    2,916x = 11,042,806.46
  5. Step 5: Solve for x
    x = 11,042,806.46/2,916
  6. Step 6: Final answer
    x = 3,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.