Home / 5,198.16-7,778.71-4,164.81

Finding the Fourth Proportional to 5,198.16, 7,778.71 and 4,164.81

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Solution

The fourth proportional to 5,198.16, 7,778.71 and 4,164.81 is: 6,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.16 : 7,778.71 = 4,164.81 : x
  2. Step 2: Convert to fraction form
    5,198.16/7,778.71 = 4,164.81/x
  3. Step 3: Cross multiply
    5,198.16x = 7,778.71 × 4,164.81
  4. Step 4: Simplify right side
    5,198.16x = 32,396,849.20
  5. Step 5: Solve for x
    x = 32,396,849.20/5,198.16
  6. Step 6: Final answer
    x = 6,232.37

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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.