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Finding the Fourth Proportional to 5,217.44, 7,826.42 and 1,321.88

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Solution

The fourth proportional to 5,217.44, 7,826.42 and 1,321.88 is: 1,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.44 : 7,826.42 = 1,321.88 : x
  2. Step 2: Convert to fraction form
    5,217.44/7,826.42 = 1,321.88/x
  3. Step 3: Cross multiply
    5,217.44x = 7,826.42 × 1,321.88
  4. Step 4: Simplify right side
    5,217.44x = 10,345,588.07
  5. Step 5: Solve for x
    x = 10,345,588.07/5,217.44
  6. Step 6: Final answer
    x = 1,982.89

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