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Finding the Fourth Proportional to 3,891.32, 5,836.97 and 969.63

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Solution

The fourth proportional to 3,891.32, 5,836.97 and 969.63 is: 1,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.32 : 5,836.97 = 969.63 : x
  2. Step 2: Convert to fraction form
    3,891.32/5,836.97 = 969.63/x
  3. Step 3: Cross multiply
    3,891.32x = 5,836.97 × 969.63
  4. Step 4: Simplify right side
    3,891.32x = 5,659,701.22
  5. Step 5: Solve for x
    x = 5,659,701.22/3,891.32
  6. Step 6: Final answer
    x = 1,454.44

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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.