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Finding the Fourth Proportional to 7,997.40, 11,996.40 and 2,154.15

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Solution

The fourth proportional to 7,997.40, 11,996.40 and 2,154.15 is: 3,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.40 : 11,996.40 = 2,154.15 : x
  2. Step 2: Convert to fraction form
    7,997.40/11,996.40 = 2,154.15/x
  3. Step 3: Cross multiply
    7,997.40x = 11,996.40 × 2,154.15
  4. Step 4: Simplify right side
    7,997.40x = 25,842,045.06
  5. Step 5: Solve for x
    x = 25,842,045.06/7,997.40
  6. Step 6: Final answer
    x = 3,231.31

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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.