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Finding the Fourth Proportional to 11,455, 17,184.66 and 3,247

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Solution

The fourth proportional to 11,455, 17,184.66 and 3,247 is: 4,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455 : 17,184.66 = 3,247 : x
  2. Step 2: Convert to fraction form
    11,455/17,184.66 = 3,247/x
  3. Step 3: Cross multiply
    11,455x = 17,184.66 × 3,247
  4. Step 4: Simplify right side
    11,455x = 55,798,591.02
  5. Step 5: Solve for x
    x = 55,798,591.02/11,455
  6. Step 6: Final answer
    x = 4,871.11

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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.