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Finding the Fourth Proportional to 3,654.68, 5,481.61 and 1,057.61

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Solution

The fourth proportional to 3,654.68, 5,481.61 and 1,057.61 is: 1,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.68 : 5,481.61 = 1,057.61 : x
  2. Step 2: Convert to fraction form
    3,654.68/5,481.61 = 1,057.61/x
  3. Step 3: Cross multiply
    3,654.68x = 5,481.61 × 1,057.61
  4. Step 4: Simplify right side
    3,654.68x = 5,797,416.61
  5. Step 5: Solve for x
    x = 5,797,416.61/3,654.68
  6. Step 6: Final answer
    x = 1,586.30

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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.