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Finding the Fourth Proportional to 3,630.96, 5,447.16 and 1,322.40

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Solution

The fourth proportional to 3,630.96, 5,447.16 and 1,322.40 is: 1,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.96 : 5,447.16 = 1,322.40 : x
  2. Step 2: Convert to fraction form
    3,630.96/5,447.16 = 1,322.40/x
  3. Step 3: Cross multiply
    3,630.96x = 5,447.16 × 1,322.40
  4. Step 4: Simplify right side
    3,630.96x = 7,203,324.38
  5. Step 5: Solve for x
    x = 7,203,324.38/3,630.96
  6. Step 6: Final answer
    x = 1,983.86

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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.