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Finding the Fourth Proportional to 11,780, 17,663.88 and 3,986

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Solution

The fourth proportional to 11,780, 17,663.88 and 3,986 is: 5,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 17,663.88 = 3,986 : x
  2. Step 2: Convert to fraction form
    11,780/17,663.88 = 3,986/x
  3. Step 3: Cross multiply
    11,780x = 17,663.88 × 3,986
  4. Step 4: Simplify right side
    11,780x = 70,408,225.68
  5. Step 5: Solve for x
    x = 70,408,225.68/11,780
  6. Step 6: Final answer
    x = 5,976.93

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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.