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Finding the Fourth Proportional to 6,455.82, 8,909.11 and 3,623.81

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Solution

The fourth proportional to 6,455.82, 8,909.11 and 3,623.81 is: 5,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.82 : 8,909.11 = 3,623.81 : x
  2. Step 2: Convert to fraction form
    6,455.82/8,909.11 = 3,623.81/x
  3. Step 3: Cross multiply
    6,455.82x = 8,909.11 × 3,623.81
  4. Step 4: Simplify right side
    6,455.82x = 32,284,892.09
  5. Step 5: Solve for x
    x = 32,284,892.09/6,455.82
  6. Step 6: Final answer
    x = 5,000.90

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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.