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Finding the Fourth Proportional to 18,631, 27,950.82 and 6,319

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Solution

The fourth proportional to 18,631, 27,950.82 and 6,319 is: 9,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,631 : 27,950.82 = 6,319 : x
  2. Step 2: Convert to fraction form
    18,631/27,950.82 = 6,319/x
  3. Step 3: Cross multiply
    18,631x = 27,950.82 × 6,319
  4. Step 4: Simplify right side
    18,631x = 176,621,231.58
  5. Step 5: Solve for x
    x = 176,621,231.58/18,631
  6. Step 6: Final answer
    x = 9,479.97

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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.