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Finding the Fourth Proportional to 3,274, 4,911.14 and 965.50

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Solution

The fourth proportional to 3,274, 4,911.14 and 965.50 is: 1,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274 : 4,911.14 = 965.50 : x
  2. Step 2: Convert to fraction form
    3,274/4,911.14 = 965.50/x
  3. Step 3: Cross multiply
    3,274x = 4,911.14 × 965.50
  4. Step 4: Simplify right side
    3,274x = 4,741,700.84
  5. Step 5: Solve for x
    x = 4,741,700.84/3,274
  6. Step 6: Final answer
    x = 1,448.29

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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.