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Finding the Fourth Proportional to 9,982.92, 13,775.91 and 5,731.03

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Solution

The fourth proportional to 9,982.92, 13,775.91 and 5,731.03 is: 7,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.92 : 13,775.91 = 5,731.03 : x
  2. Step 2: Convert to fraction form
    9,982.92/13,775.91 = 5,731.03/x
  3. Step 3: Cross multiply
    9,982.92x = 13,775.91 × 5,731.03
  4. Step 4: Simplify right side
    9,982.92x = 78,950,153.49
  5. Step 5: Solve for x
    x = 78,950,153.49/9,982.92
  6. Step 6: Final answer
    x = 7,908.52

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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.