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Finding the Fourth Proportional to 2,081.84, 3,100.02 and 1,974.92

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Solution

The fourth proportional to 2,081.84, 3,100.02 and 1,974.92 is: 2,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.84 : 3,100.02 = 1,974.92 : x
  2. Step 2: Convert to fraction form
    2,081.84/3,100.02 = 1,974.92/x
  3. Step 3: Cross multiply
    2,081.84x = 3,100.02 × 1,974.92
  4. Step 4: Simplify right side
    2,081.84x = 6,122,291.50
  5. Step 5: Solve for x
    x = 6,122,291.50/2,081.84
  6. Step 6: Final answer
    x = 2,940.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.