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Finding the Fourth Proportional to 5,739.75, 7,920.27 and 3,221.73

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Solution

The fourth proportional to 5,739.75, 7,920.27 and 3,221.73 is: 4,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.75 : 7,920.27 = 3,221.73 : x
  2. Step 2: Convert to fraction form
    5,739.75/7,920.27 = 3,221.73/x
  3. Step 3: Cross multiply
    5,739.75x = 7,920.27 × 3,221.73
  4. Step 4: Simplify right side
    5,739.75x = 25,516,971.47
  5. Step 5: Solve for x
    x = 25,516,971.47/5,739.75
  6. Step 6: Final answer
    x = 4,445.66

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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.