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Finding the Fourth Proportional to 3,660.78, 5,489.62 and 1,408.94

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Solution

The fourth proportional to 3,660.78, 5,489.62 and 1,408.94 is: 2,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.78 : 5,489.62 = 1,408.94 : x
  2. Step 2: Convert to fraction form
    3,660.78/5,489.62 = 1,408.94/x
  3. Step 3: Cross multiply
    3,660.78x = 5,489.62 × 1,408.94
  4. Step 4: Simplify right side
    3,660.78x = 7,734,545.20
  5. Step 5: Solve for x
    x = 7,734,545.20/3,660.78
  6. Step 6: Final answer
    x = 2,112.81

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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.