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Finding the Fourth Proportional to 11,952, 17,930.88 and 3,744

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Solution

The fourth proportional to 11,952, 17,930.88 and 3,744 is: 5,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 17,930.88 = 3,744 : x
  2. Step 2: Convert to fraction form
    11,952/17,930.88 = 3,744/x
  3. Step 3: Cross multiply
    11,952x = 17,930.88 × 3,744
  4. Step 4: Simplify right side
    11,952x = 67,133,214.72
  5. Step 5: Solve for x
    x = 67,133,214.72/11,952
  6. Step 6: Final answer
    x = 5,616.90

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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.