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Finding the Fourth Proportional to 2,687.75, 3,709.25 and 1,789.93

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Solution

The fourth proportional to 2,687.75, 3,709.25 and 1,789.93 is: 2,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.75 : 3,709.25 = 1,789.93 : x
  2. Step 2: Convert to fraction form
    2,687.75/3,709.25 = 1,789.93/x
  3. Step 3: Cross multiply
    2,687.75x = 3,709.25 × 1,789.93
  4. Step 4: Simplify right side
    2,687.75x = 6,639,300.25
  5. Step 5: Solve for x
    x = 6,639,300.25/2,687.75
  6. Step 6: Final answer
    x = 2,470.21

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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.