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Finding the Fourth Proportional to 2,081.47, 3,122.31 and 694.75

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Solution

The fourth proportional to 2,081.47, 3,122.31 and 694.75 is: 1,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.47 : 3,122.31 = 694.75 : x
  2. Step 2: Convert to fraction form
    2,081.47/3,122.31 = 694.75/x
  3. Step 3: Cross multiply
    2,081.47x = 3,122.31 × 694.75
  4. Step 4: Simplify right side
    2,081.47x = 2,169,205.79
  5. Step 5: Solve for x
    x = 2,169,205.79/2,081.47
  6. Step 6: Final answer
    x = 1,042.15

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1.5x scale

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.