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Finding the Fourth Proportional to 27,987.07, 41,986.13 and 7,996.74

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Solution

The fourth proportional to 27,987.07, 41,986.13 and 7,996.74 is: 11,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.07 : 41,986.13 = 7,996.74 : x
  2. Step 2: Convert to fraction form
    27,987.07/41,986.13 = 7,996.74/x
  3. Step 3: Cross multiply
    27,987.07x = 41,986.13 × 7,996.74
  4. Step 4: Simplify right side
    27,987.07x = 335,752,105.55
  5. Step 5: Solve for x
    x = 335,752,105.55/27,987.07
  6. Step 6: Final answer
    x = 11,996.69

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1.5x scale

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.