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Finding the Fourth Proportional to 3,839.85, 5,752.22 and 1,992.17

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Solution

The fourth proportional to 3,839.85, 5,752.22 and 1,992.17 is: 2,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.85 : 5,752.22 = 1,992.17 : x
  2. Step 2: Convert to fraction form
    3,839.85/5,752.22 = 1,992.17/x
  3. Step 3: Cross multiply
    3,839.85x = 5,752.22 × 1,992.17
  4. Step 4: Simplify right side
    3,839.85x = 11,459,361.40
  5. Step 5: Solve for x
    x = 11,459,361.40/3,839.85
  6. Step 6: Final answer
    x = 2,984.33

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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.