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Finding the Fourth Proportional to 27,987.93, 41,987.43 and 7,997.60

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Solution

The fourth proportional to 27,987.93, 41,987.43 and 7,997.60 is: 11,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.93 : 41,987.43 = 7,997.60 : x
  2. Step 2: Convert to fraction form
    27,987.93/41,987.43 = 7,997.60/x
  3. Step 3: Cross multiply
    27,987.93x = 41,987.43 × 7,997.60
  4. Step 4: Simplify right side
    27,987.93x = 335,798,460.23
  5. Step 5: Solve for x
    x = 335,798,460.23/27,987.93
  6. Step 6: Final answer
    x = 11,997.97

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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.