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Finding the Fourth Proportional to 9,745.98, 13,450.68 and 6,391.59

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Solution

The fourth proportional to 9,745.98, 13,450.68 and 6,391.59 is: 8,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.98 : 13,450.68 = 6,391.59 : x
  2. Step 2: Convert to fraction form
    9,745.98/13,450.68 = 6,391.59/x
  3. Step 3: Cross multiply
    9,745.98x = 13,450.68 × 6,391.59
  4. Step 4: Simplify right side
    9,745.98x = 85,971,231.78
  5. Step 5: Solve for x
    x = 85,971,231.78/9,745.98
  6. Step 6: Final answer
    x = 8,821.20

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