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Finding the Fourth Proportional to 11,477, 17,218.38 and 3,269

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Solution

The fourth proportional to 11,477, 17,218.38 and 3,269 is: 4,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477 : 17,218.38 = 3,269 : x
  2. Step 2: Convert to fraction form
    11,477/17,218.38 = 3,269/x
  3. Step 3: Cross multiply
    11,477x = 17,218.38 × 3,269
  4. Step 4: Simplify right side
    11,477x = 56,286,884.22
  5. Step 5: Solve for x
    x = 56,286,884.22/11,477
  6. Step 6: Final answer
    x = 4,904.32

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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.