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Finding the Fourth Proportional to 3,147.75, 4,721.64 and 839.25

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Solution

The fourth proportional to 3,147.75, 4,721.64 and 839.25 is: 1,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,721.64 = 839.25 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,721.64 = 839.25/x
  3. Step 3: Cross multiply
    3,147.75x = 4,721.64 × 839.25
  4. Step 4: Simplify right side
    3,147.75x = 3,962,636.37
  5. Step 5: Solve for x
    x = 3,962,636.37/3,147.75
  6. Step 6: Final answer
    x = 1,258.88

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Similar ratio
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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.