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Finding the Fourth Proportional to 8,685, 13,029.30 and 2,841

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Solution

The fourth proportional to 8,685, 13,029.30 and 2,841 is: 4,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 13,029.30 = 2,841 : x
  2. Step 2: Convert to fraction form
    8,685/13,029.30 = 2,841/x
  3. Step 3: Cross multiply
    8,685x = 13,029.30 × 2,841
  4. Step 4: Simplify right side
    8,685x = 37,016,241.30
  5. Step 5: Solve for x
    x = 37,016,241.30/8,685
  6. Step 6: Final answer
    x = 4,262.09

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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.