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Finding the Fourth Proportional to 5,811.40, 8,019.12 and 3,453.22

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Solution

The fourth proportional to 5,811.40, 8,019.12 and 3,453.22 is: 4,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.40 : 8,019.12 = 3,453.22 : x
  2. Step 2: Convert to fraction form
    5,811.40/8,019.12 = 3,453.22/x
  3. Step 3: Cross multiply
    5,811.40x = 8,019.12 × 3,453.22
  4. Step 4: Simplify right side
    5,811.40x = 27,691,785.57
  5. Step 5: Solve for x
    x = 27,691,785.57/5,811.40
  6. Step 6: Final answer
    x = 4,765.08

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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.