Home / 3,830.96-5,746.75-1,198.40

Finding the Fourth Proportional to 3,830.96, 5,746.75 and 1,198.40

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Solution

The fourth proportional to 3,830.96, 5,746.75 and 1,198.40 is: 1,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.96 : 5,746.75 = 1,198.40 : x
  2. Step 2: Convert to fraction form
    3,830.96/5,746.75 = 1,198.40/x
  3. Step 3: Cross multiply
    3,830.96x = 5,746.75 × 1,198.40
  4. Step 4: Simplify right side
    3,830.96x = 6,886,873.47
  5. Step 5: Solve for x
    x = 6,886,873.47/3,830.96
  6. Step 6: Final answer
    x = 1,797.69

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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.