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Finding the Fourth Proportional to 5,811.92, 8,019.24 and 3,453.20

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Solution

The fourth proportional to 5,811.92, 8,019.24 and 3,453.20 is: 4,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.92 : 8,019.24 = 3,453.20 : x
  2. Step 2: Convert to fraction form
    5,811.92/8,019.24 = 3,453.20/x
  3. Step 3: Cross multiply
    5,811.92x = 8,019.24 × 3,453.20
  4. Step 4: Simplify right side
    5,811.92x = 27,692,039.57
  5. Step 5: Solve for x
    x = 27,692,039.57/5,811.92
  6. Step 6: Final answer
    x = 4,764.70

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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.