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Finding the Fourth Proportional to 3,456.73, 4,770.42 and 1,964.90

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Solution

The fourth proportional to 3,456.73, 4,770.42 and 1,964.90 is: 2,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.73 : 4,770.42 = 1,964.90 : x
  2. Step 2: Convert to fraction form
    3,456.73/4,770.42 = 1,964.90/x
  3. Step 3: Cross multiply
    3,456.73x = 4,770.42 × 1,964.90
  4. Step 4: Simplify right side
    3,456.73x = 9,373,388.43
  5. Step 5: Solve for x
    x = 9,373,388.43/3,456.73
  6. Step 6: Final answer
    x = 2,711.63

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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.