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Finding the Fourth Proportional to 3,884.84, 5,313.67 and 3,824.36

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Solution

The fourth proportional to 3,884.84, 5,313.67 and 3,824.36 is: 5,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.84 : 5,313.67 = 3,824.36 : x
  2. Step 2: Convert to fraction form
    3,884.84/5,313.67 = 3,824.36/x
  3. Step 3: Cross multiply
    3,884.84x = 5,313.67 × 3,824.36
  4. Step 4: Simplify right side
    3,884.84x = 20,321,387.00
  5. Step 5: Solve for x
    x = 20,321,387.00/3,884.84
  6. Step 6: Final answer
    x = 5,230.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.