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Finding the Fourth Proportional to 2,161.67, 3,240.83 and 992.00

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Solution

The fourth proportional to 2,161.67, 3,240.83 and 992.00 is: 1,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.67 : 3,240.83 = 992.00 : x
  2. Step 2: Convert to fraction form
    2,161.67/3,240.83 = 992.00/x
  3. Step 3: Cross multiply
    2,161.67x = 3,240.83 × 992.00
  4. Step 4: Simplify right side
    2,161.67x = 3,214,913.94
  5. Step 5: Solve for x
    x = 3,214,913.94/2,161.67
  6. Step 6: Final answer
    x = 1,487.24

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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.