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Finding the Fourth Proportional to 11,477, 17,213.02 and 3,686.44

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Solution

The fourth proportional to 11,477, 17,213.02 and 3,686.44 is: 5,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477 : 17,213.02 = 3,686.44 : x
  2. Step 2: Convert to fraction form
    11,477/17,213.02 = 3,686.44/x
  3. Step 3: Cross multiply
    11,477x = 17,213.02 × 3,686.44
  4. Step 4: Simplify right side
    11,477x = 63,454,765.45
  5. Step 5: Solve for x
    x = 63,454,765.45/11,477
  6. Step 6: Final answer
    x = 5,528.86

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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.