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Finding the Fourth Proportional to 3,891.49, 5,837.25 and 969.79

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Solution

The fourth proportional to 3,891.49, 5,837.25 and 969.79 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.49 : 5,837.25 = 969.79 : x
  2. Step 2: Convert to fraction form
    3,891.49/5,837.25 = 969.79/x
  3. Step 3: Cross multiply
    3,891.49x = 5,837.25 × 969.79
  4. Step 4: Simplify right side
    3,891.49x = 5,660,906.68
  5. Step 5: Solve for x
    x = 5,660,906.68/3,891.49
  6. Step 6: Final answer
    x = 1,454.69

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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.