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Finding the Fourth Proportional to 6,789, 10,187.82 and 2,685

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Solution

The fourth proportional to 6,789, 10,187.82 and 2,685 is: 4,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789 : 10,187.82 = 2,685 : x
  2. Step 2: Convert to fraction form
    6,789/10,187.82 = 2,685/x
  3. Step 3: Cross multiply
    6,789x = 10,187.82 × 2,685
  4. Step 4: Simplify right side
    6,789x = 27,354,296.70
  5. Step 5: Solve for x
    x = 27,354,296.70/6,789
  6. Step 6: Final answer
    x = 4,029.21

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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.