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Finding the Fourth Proportional to 5,640.81, 8,446.63 and 3,891.21

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Solution

The fourth proportional to 5,640.81, 8,446.63 and 3,891.21 is: 5,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.81 : 8,446.63 = 3,891.21 : x
  2. Step 2: Convert to fraction form
    5,640.81/8,446.63 = 3,891.21/x
  3. Step 3: Cross multiply
    5,640.81x = 8,446.63 × 3,891.21
  4. Step 4: Simplify right side
    5,640.81x = 32,867,611.12
  5. Step 5: Solve for x
    x = 32,867,611.12/5,640.81
  6. Step 6: Final answer
    x = 5,826.75

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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.