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Finding the Fourth Proportional to 27,909.47, 41,855.99 and 8,185.47

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Solution

The fourth proportional to 27,909.47, 41,855.99 and 8,185.47 is: 12,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.47 : 41,855.99 = 8,185.47 : x
  2. Step 2: Convert to fraction form
    27,909.47/41,855.99 = 8,185.47/x
  3. Step 3: Cross multiply
    27,909.47x = 41,855.99 × 8,185.47
  4. Step 4: Simplify right side
    27,909.47x = 342,610,909.54
  5. Step 5: Solve for x
    x = 342,610,909.54/27,909.47
  6. Step 6: Final answer
    x = 12,275.80

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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.