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Finding the Fourth Proportional to 3,660.86, 5,490.70 and 1,028.55

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Solution

The fourth proportional to 3,660.86, 5,490.70 and 1,028.55 is: 1,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.86 : 5,490.70 = 1,028.55 : x
  2. Step 2: Convert to fraction form
    3,660.86/5,490.70 = 1,028.55/x
  3. Step 3: Cross multiply
    3,660.86x = 5,490.70 × 1,028.55
  4. Step 4: Simplify right side
    3,660.86x = 5,647,459.49
  5. Step 5: Solve for x
    x = 5,647,459.49/3,660.86
  6. Step 6: Final answer
    x = 1,542.66

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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.