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Finding the Fourth Proportional to 3,453.26, 5,179.79 and 856.19

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Solution

The fourth proportional to 3,453.26, 5,179.79 and 856.19 is: 1,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.26 : 5,179.79 = 856.19 : x
  2. Step 2: Convert to fraction form
    3,453.26/5,179.79 = 856.19/x
  3. Step 3: Cross multiply
    3,453.26x = 5,179.79 × 856.19
  4. Step 4: Simplify right side
    3,453.26x = 4,434,854.22
  5. Step 5: Solve for x
    x = 4,434,854.22/3,453.26
  6. Step 6: Final answer
    x = 1,284.25

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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.