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Finding the Fourth Proportional to 2,201.48, 3,300.42 and 813.92

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Solution

The fourth proportional to 2,201.48, 3,300.42 and 813.92 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.48 : 3,300.42 = 813.92 : x
  2. Step 2: Convert to fraction form
    2,201.48/3,300.42 = 813.92/x
  3. Step 3: Cross multiply
    2,201.48x = 3,300.42 × 813.92
  4. Step 4: Simplify right side
    2,201.48x = 2,686,277.85
  5. Step 5: Solve for x
    x = 2,686,277.85/2,201.48
  6. Step 6: Final answer
    x = 1,220.21

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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.