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Finding the Fourth Proportional to 1,954.54, 2,930.43 and 979.97

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Solution

The fourth proportional to 1,954.54, 2,930.43 and 979.97 is: 1,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.54 : 2,930.43 = 979.97 : x
  2. Step 2: Convert to fraction form
    1,954.54/2,930.43 = 979.97/x
  3. Step 3: Cross multiply
    1,954.54x = 2,930.43 × 979.97
  4. Step 4: Simplify right side
    1,954.54x = 2,871,733.49
  5. Step 5: Solve for x
    x = 2,871,733.49/1,954.54
  6. Step 6: Final answer
    x = 1,469.27

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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.