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Finding the Fourth Proportional to 27,707.65, 41,561.60 and 7,986.61

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Solution

The fourth proportional to 27,707.65, 41,561.60 and 7,986.61 is: 11,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.65 : 41,561.60 = 7,986.61 : x
  2. Step 2: Convert to fraction form
    27,707.65/41,561.60 = 7,986.61/x
  3. Step 3: Cross multiply
    27,707.65x = 41,561.60 × 7,986.61
  4. Step 4: Simplify right side
    27,707.65x = 331,936,250.24
  5. Step 5: Solve for x
    x = 331,936,250.24/27,707.65
  6. Step 6: Final answer
    x = 11,979.95

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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.