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Finding the Fourth Proportional to 3,658.95, 5,485.10 and 1,318.41

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Solution

The fourth proportional to 3,658.95, 5,485.10 and 1,318.41 is: 1,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.95 : 5,485.10 = 1,318.41 : x
  2. Step 2: Convert to fraction form
    3,658.95/5,485.10 = 1,318.41/x
  3. Step 3: Cross multiply
    3,658.95x = 5,485.10 × 1,318.41
  4. Step 4: Simplify right side
    3,658.95x = 7,231,604.10
  5. Step 5: Solve for x
    x = 7,231,604.10/3,658.95
  6. Step 6: Final answer
    x = 1,976.42

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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.