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Finding the Fourth Proportional to 3,456.45, 4,770.81 and 1,965.24

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Solution

The fourth proportional to 3,456.45, 4,770.81 and 1,965.24 is: 2,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.45 : 4,770.81 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    3,456.45/4,770.81 = 1,965.24/x
  3. Step 3: Cross multiply
    3,456.45x = 4,770.81 × 1,965.24
  4. Step 4: Simplify right side
    3,456.45x = 9,375,786.64
  5. Step 5: Solve for x
    x = 9,375,786.64/3,456.45
  6. Step 6: Final answer
    x = 2,712.55

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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.