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Finding the Fourth Proportional to 3,881.27, 5,821.91 and 1,284.21

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Solution

The fourth proportional to 3,881.27, 5,821.91 and 1,284.21 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.27 : 5,821.91 = 1,284.21 : x
  2. Step 2: Convert to fraction form
    3,881.27/5,821.91 = 1,284.21/x
  3. Step 3: Cross multiply
    3,881.27x = 5,821.91 × 1,284.21
  4. Step 4: Simplify right side
    3,881.27x = 7,476,555.04
  5. Step 5: Solve for x
    x = 7,476,555.04/3,881.27
  6. Step 6: Final answer
    x = 1,926.32

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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.