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Finding the Fourth Proportional to 18,511, 27,764.46 and 4,660

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Solution

The fourth proportional to 18,511, 27,764.46 and 4,660 is: 6,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 27,764.46 = 4,660 : x
  2. Step 2: Convert to fraction form
    18,511/27,764.46 = 4,660/x
  3. Step 3: Cross multiply
    18,511x = 27,764.46 × 4,660
  4. Step 4: Simplify right side
    18,511x = 129,382,383.60
  5. Step 5: Solve for x
    x = 129,382,383.60/18,511
  6. Step 6: Final answer
    x = 6,989.49

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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.