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Finding the Fourth Proportional to 3,619.01, 5,431.11 and 1,540.47

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Solution

The fourth proportional to 3,619.01, 5,431.11 and 1,540.47 is: 2,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.01 : 5,431.11 = 1,540.47 : x
  2. Step 2: Convert to fraction form
    3,619.01/5,431.11 = 1,540.47/x
  3. Step 3: Cross multiply
    3,619.01x = 5,431.11 × 1,540.47
  4. Step 4: Simplify right side
    3,619.01x = 8,366,485.28
  5. Step 5: Solve for x
    x = 8,366,485.28/3,619.01
  6. Step 6: Final answer
    x = 2,311.81

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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.