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Finding the Fourth Proportional to 5,729.39, 7,907 and 3,211.73

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Solution

The fourth proportional to 5,729.39, 7,907 and 3,211.73 is: 4,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.39 : 7,907 = 3,211.73 : x
  2. Step 2: Convert to fraction form
    5,729.39/7,907 = 3,211.73/x
  3. Step 3: Cross multiply
    5,729.39x = 7,907 × 3,211.73
  4. Step 4: Simplify right side
    5,729.39x = 25,395,149.11
  5. Step 5: Solve for x
    x = 25,395,149.11/5,729.39
  6. Step 6: Final answer
    x = 4,432.44

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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.