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Finding the Fourth Proportional to 1,672.14, 2,509.75 and 851

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Solution

The fourth proportional to 1,672.14, 2,509.75 and 851 is: 1,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.14 : 2,509.75 = 851 : x
  2. Step 2: Convert to fraction form
    1,672.14/2,509.75 = 851/x
  3. Step 3: Cross multiply
    1,672.14x = 2,509.75 × 851
  4. Step 4: Simplify right side
    1,672.14x = 2,135,797.25
  5. Step 5: Solve for x
    x = 2,135,797.25/1,672.14
  6. Step 6: Final answer
    x = 1,277.28

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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.