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Finding the Fourth Proportional to 3,998.97, 6,002.64 and 1,920.75

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Solution

The fourth proportional to 3,998.97, 6,002.64 and 1,920.75 is: 2,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.97 : 6,002.64 = 1,920.75 : x
  2. Step 2: Convert to fraction form
    3,998.97/6,002.64 = 1,920.75/x
  3. Step 3: Cross multiply
    3,998.97x = 6,002.64 × 1,920.75
  4. Step 4: Simplify right side
    3,998.97x = 11,529,570.78
  5. Step 5: Solve for x
    x = 11,529,570.78/3,998.97
  6. Step 6: Final answer
    x = 2,883.14

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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.