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Finding the Fourth Proportional to 5,729.32, 7,906.32 and 3,211.54

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Solution

The fourth proportional to 5,729.32, 7,906.32 and 3,211.54 is: 4,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.32 : 7,906.32 = 3,211.54 : x
  2. Step 2: Convert to fraction form
    5,729.32/7,906.32 = 3,211.54/x
  3. Step 3: Cross multiply
    5,729.32x = 7,906.32 × 3,211.54
  4. Step 4: Simplify right side
    5,729.32x = 25,391,443.17
  5. Step 5: Solve for x
    x = 25,391,443.17/5,729.32
  6. Step 6: Final answer
    x = 4,431.84

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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.