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Finding the Fourth Proportional to 2,171.25, 3,256.74 and 937.85

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Solution

The fourth proportional to 2,171.25, 3,256.74 and 937.85 is: 1,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.25 : 3,256.74 = 937.85 : x
  2. Step 2: Convert to fraction form
    2,171.25/3,256.74 = 937.85/x
  3. Step 3: Cross multiply
    2,171.25x = 3,256.74 × 937.85
  4. Step 4: Simplify right side
    2,171.25x = 3,054,317.33
  5. Step 5: Solve for x
    x = 3,054,317.33/2,171.25
  6. Step 6: Final answer
    x = 1,406.71

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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.