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Finding the Fourth Proportional to 2,687.94, 3,709.74 and 1,509.09

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Solution

The fourth proportional to 2,687.94, 3,709.74 and 1,509.09 is: 2,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.94 : 3,709.74 = 1,509.09 : x
  2. Step 2: Convert to fraction form
    2,687.94/3,709.74 = 1,509.09/x
  3. Step 3: Cross multiply
    2,687.94x = 3,709.74 × 1,509.09
  4. Step 4: Simplify right side
    2,687.94x = 5,598,331.54
  5. Step 5: Solve for x
    x = 5,598,331.54/2,687.94
  6. Step 6: Final answer
    x = 2,082.76

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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.