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Finding the Fourth Proportional to 5,321.09, 7,969.74 and 3,856.88

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Solution

The fourth proportional to 5,321.09, 7,969.74 and 3,856.88 is: 5,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.09 : 7,969.74 = 3,856.88 : x
  2. Step 2: Convert to fraction form
    5,321.09/7,969.74 = 3,856.88/x
  3. Step 3: Cross multiply
    5,321.09x = 7,969.74 × 3,856.88
  4. Step 4: Simplify right side
    5,321.09x = 30,738,290.96
  5. Step 5: Solve for x
    x = 30,738,290.96/5,321.09
  6. Step 6: Final answer
    x = 5,776.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.