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Finding the Fourth Proportional to 5,221.74, 7,205.74 and 2,863.82

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Solution

The fourth proportional to 5,221.74, 7,205.74 and 2,863.82 is: 3,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.74 : 7,205.74 = 2,863.82 : x
  2. Step 2: Convert to fraction form
    5,221.74/7,205.74 = 2,863.82/x
  3. Step 3: Cross multiply
    5,221.74x = 7,205.74 × 2,863.82
  4. Step 4: Simplify right side
    5,221.74x = 20,635,942.33
  5. Step 5: Solve for x
    x = 20,635,942.33/5,221.74
  6. Step 6: Final answer
    x = 3,951.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.