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Finding the Fourth Proportional to 2,200.46, 3,300.33 and 814.45

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Solution

The fourth proportional to 2,200.46, 3,300.33 and 814.45 is: 1,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.46 : 3,300.33 = 814.45 : x
  2. Step 2: Convert to fraction form
    2,200.46/3,300.33 = 814.45/x
  3. Step 3: Cross multiply
    2,200.46x = 3,300.33 × 814.45
  4. Step 4: Simplify right side
    2,200.46x = 2,687,953.77
  5. Step 5: Solve for x
    x = 2,687,953.77/2,200.46
  6. Step 6: Final answer
    x = 1,221.54

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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.