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Finding the Fourth Proportional to 8,201.63, 11,318.38 and 4,475.63

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Solution

The fourth proportional to 8,201.63, 11,318.38 and 4,475.63 is: 6,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.63 : 11,318.38 = 4,475.63 : x
  2. Step 2: Convert to fraction form
    8,201.63/11,318.38 = 4,475.63/x
  3. Step 3: Cross multiply
    8,201.63x = 11,318.38 × 4,475.63
  4. Step 4: Simplify right side
    8,201.63x = 50,656,881.08
  5. Step 5: Solve for x
    x = 50,656,881.08/8,201.63
  6. Step 6: Final answer
    x = 6,176.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.