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Finding the Fourth Proportional to 2,856.75, 4,286.75 and 1,317.75

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Solution

The fourth proportional to 2,856.75, 4,286.75 and 1,317.75 is: 1,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 4,286.75 = 1,317.75 : x
  2. Step 2: Convert to fraction form
    2,856.75/4,286.75 = 1,317.75/x
  3. Step 3: Cross multiply
    2,856.75x = 4,286.75 × 1,317.75
  4. Step 4: Simplify right side
    2,856.75x = 5,648,858.22
  5. Step 5: Solve for x
    x = 5,648,858.22/2,856.75
  6. Step 6: Final answer
    x = 1,977.37

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1.5x scale

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.