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Finding the Fourth Proportional to 6,780, 10,171.80 and 2,163

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Solution

The fourth proportional to 6,780, 10,171.80 and 2,163 is: 3,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 10,171.80 = 2,163 : x
  2. Step 2: Convert to fraction form
    6,780/10,171.80 = 2,163/x
  3. Step 3: Cross multiply
    6,780x = 10,171.80 × 2,163
  4. Step 4: Simplify right side
    6,780x = 22,001,603.40
  5. Step 5: Solve for x
    x = 22,001,603.40/6,780
  6. Step 6: Final answer
    x = 3,245.07

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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.