Home / 2,200.75-3,298.80-813.20

Finding the Fourth Proportional to 2,200.75, 3,298.80 and 813.20

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Solution

The fourth proportional to 2,200.75, 3,298.80 and 813.20 is: 1,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.75 : 3,298.80 = 813.20 : x
  2. Step 2: Convert to fraction form
    2,200.75/3,298.80 = 813.20/x
  3. Step 3: Cross multiply
    2,200.75x = 3,298.80 × 813.20
  4. Step 4: Simplify right side
    2,200.75x = 2,682,567.67
  5. Step 5: Solve for x
    x = 2,682,567.67/2,200.75
  6. Step 6: Final answer
    x = 1,218.93

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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.