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Finding the Fourth Proportional to 7,999.52, 11,997.68 and 2,731.68

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Solution

The fourth proportional to 7,999.52, 11,997.68 and 2,731.68 is: 4,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.52 : 11,997.68 = 2,731.68 : x
  2. Step 2: Convert to fraction form
    7,999.52/11,997.68 = 2,731.68/x
  3. Step 3: Cross multiply
    7,999.52x = 11,997.68 × 2,731.68
  4. Step 4: Simplify right side
    7,999.52x = 32,773,808.84
  5. Step 5: Solve for x
    x = 32,773,808.84/7,999.52
  6. Step 6: Final answer
    x = 4,096.97

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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.