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Finding the Fourth Proportional to 3,654.32, 5,481.42 and 3,420.84

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Solution

The fourth proportional to 3,654.32, 5,481.42 and 3,420.84 is: 5,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.32 : 5,481.42 = 3,420.84 : x
  2. Step 2: Convert to fraction form
    3,654.32/5,481.42 = 3,420.84/x
  3. Step 3: Cross multiply
    3,654.32x = 5,481.42 × 3,420.84
  4. Step 4: Simplify right side
    3,654.32x = 18,751,033.39
  5. Step 5: Solve for x
    x = 18,751,033.39/3,654.32
  6. Step 6: Final answer
    x = 5,131.20

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1.5x scale

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.