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Finding the Fourth Proportional to 3,163.29, 4,744.38 and 854.25

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Solution

The fourth proportional to 3,163.29, 4,744.38 and 854.25 is: 1,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.29 : 4,744.38 = 854.25 : x
  2. Step 2: Convert to fraction form
    3,163.29/4,744.38 = 854.25/x
  3. Step 3: Cross multiply
    3,163.29x = 4,744.38 × 854.25
  4. Step 4: Simplify right side
    3,163.29x = 4,052,886.62
  5. Step 5: Solve for x
    x = 4,052,886.62/3,163.29
  6. Step 6: Final answer
    x = 1,281.23

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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.