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Finding the Fourth Proportional to 6,380.64, 8,805.47 and 3,863.21

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Solution

The fourth proportional to 6,380.64, 8,805.47 and 3,863.21 is: 5,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.64 : 8,805.47 = 3,863.21 : x
  2. Step 2: Convert to fraction form
    6,380.64/8,805.47 = 3,863.21/x
  3. Step 3: Cross multiply
    6,380.64x = 8,805.47 × 3,863.21
  4. Step 4: Simplify right side
    6,380.64x = 34,017,316.42
  5. Step 5: Solve for x
    x = 34,017,316.42/6,380.64
  6. Step 6: Final answer
    x = 5,331.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.