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Finding the Fourth Proportional to 2,655.14, 3,982.71 and 806.27

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Solution

The fourth proportional to 2,655.14, 3,982.71 and 806.27 is: 1,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.14 : 3,982.71 = 806.27 : x
  2. Step 2: Convert to fraction form
    2,655.14/3,982.71 = 806.27/x
  3. Step 3: Cross multiply
    2,655.14x = 3,982.71 × 806.27
  4. Step 4: Simplify right side
    2,655.14x = 3,211,119.68
  5. Step 5: Solve for x
    x = 3,211,119.68/2,655.14
  6. Step 6: Final answer
    x = 1,209.40

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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.