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Finding the Fourth Proportional to 3,596.85, 5,396.31 and 1,406.21

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Solution

The fourth proportional to 3,596.85, 5,396.31 and 1,406.21 is: 2,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.85 : 5,396.31 = 1,406.21 : x
  2. Step 2: Convert to fraction form
    3,596.85/5,396.31 = 1,406.21/x
  3. Step 3: Cross multiply
    3,596.85x = 5,396.31 × 1,406.21
  4. Step 4: Simplify right side
    3,596.85x = 7,588,318.10
  5. Step 5: Solve for x
    x = 7,588,318.10/3,596.85
  6. Step 6: Final answer
    x = 2,109.71

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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.