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Finding the Fourth Proportional to 11,524, 17,286.96 and 3,316

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Solution

The fourth proportional to 11,524, 17,286.96 and 3,316 is: 4,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 17,286.96 = 3,316 : x
  2. Step 2: Convert to fraction form
    11,524/17,286.96 = 3,316/x
  3. Step 3: Cross multiply
    11,524x = 17,286.96 × 3,316
  4. Step 4: Simplify right side
    11,524x = 57,323,559.36
  5. Step 5: Solve for x
    x = 57,323,559.36/11,524
  6. Step 6: Final answer
    x = 4,974.28

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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.