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Finding the Fourth Proportional to 2,081.67, 3,122.50 and 848.75

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Solution

The fourth proportional to 2,081.67, 3,122.50 and 848.75 is: 1,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.67 : 3,122.50 = 848.75 : x
  2. Step 2: Convert to fraction form
    2,081.67/3,122.50 = 848.75/x
  3. Step 3: Cross multiply
    2,081.67x = 3,122.50 × 848.75
  4. Step 4: Simplify right side
    2,081.67x = 2,650,205.73
  5. Step 5: Solve for x
    x = 2,650,205.73/2,081.67
  6. Step 6: Final answer
    x = 1,273.12

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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.