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Finding the Fourth Proportional to 11,451.50, 17,265.53 and 11,380.42

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Solution

The fourth proportional to 11,451.50, 17,265.53 and 11,380.42 is: 17,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.50 : 17,265.53 = 11,380.42 : x
  2. Step 2: Convert to fraction form
    11,451.50/17,265.53 = 11,380.42/x
  3. Step 3: Cross multiply
    11,451.50x = 17,265.53 × 11,380.42
  4. Step 4: Simplify right side
    11,451.50x = 196,488,982.92
  5. Step 5: Solve for x
    x = 196,488,982.92/11,451.50
  6. Step 6: Final answer
    x = 17,158.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.