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Finding the Fourth Proportional to 11,934.78, 17,902.47 and 3,169.68

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Solution

The fourth proportional to 11,934.78, 17,902.47 and 3,169.68 is: 4,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.78 : 17,902.47 = 3,169.68 : x
  2. Step 2: Convert to fraction form
    11,934.78/17,902.47 = 3,169.68/x
  3. Step 3: Cross multiply
    11,934.78x = 17,902.47 × 3,169.68
  4. Step 4: Simplify right side
    11,934.78x = 56,745,101.11
  5. Step 5: Solve for x
    x = 56,745,101.11/11,934.78
  6. Step 6: Final answer
    x = 4,754.60

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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.