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Finding the Fourth Proportional to 7,997.67, 11,996.91 and 2,154.33

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Solution

The fourth proportional to 7,997.67, 11,996.91 and 2,154.33 is: 3,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.67 : 11,996.91 = 2,154.33 : x
  2. Step 2: Convert to fraction form
    7,997.67/11,996.91 = 2,154.33/x
  3. Step 3: Cross multiply
    7,997.67x = 11,996.91 × 2,154.33
  4. Step 4: Simplify right side
    7,997.67x = 25,845,303.12
  5. Step 5: Solve for x
    x = 25,845,303.12/7,997.67
  6. Step 6: Final answer
    x = 3,231.60

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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.