Home / 2,201.16-3,298.74-813.15

Finding the Fourth Proportional to 2,201.16, 3,298.74 and 813.15

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Solution

The fourth proportional to 2,201.16, 3,298.74 and 813.15 is: 1,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.16 : 3,298.74 = 813.15 : x
  2. Step 2: Convert to fraction form
    2,201.16/3,298.74 = 813.15/x
  3. Step 3: Cross multiply
    2,201.16x = 3,298.74 × 813.15
  4. Step 4: Simplify right side
    2,201.16x = 2,682,370.43
  5. Step 5: Solve for x
    x = 2,682,370.43/2,201.16
  6. Step 6: Final answer
    x = 1,218.62

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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.