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Finding the Fourth Proportional to 3,969.84, 5,472.70 and 2,850.42

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Solution

The fourth proportional to 3,969.84, 5,472.70 and 2,850.42 is: 3,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.84 : 5,472.70 = 2,850.42 : x
  2. Step 2: Convert to fraction form
    3,969.84/5,472.70 = 2,850.42/x
  3. Step 3: Cross multiply
    3,969.84x = 5,472.70 × 2,850.42
  4. Step 4: Simplify right side
    3,969.84x = 15,599,493.53
  5. Step 5: Solve for x
    x = 15,599,493.53/3,969.84
  6. Step 6: Final answer
    x = 3,929.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.