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Finding the Fourth Proportional to 7,992.64, 11,975.10 and 7,181.02

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Solution

The fourth proportional to 7,992.64, 11,975.10 and 7,181.02 is: 10,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.64 : 11,975.10 = 7,181.02 : x
  2. Step 2: Convert to fraction form
    7,992.64/11,975.10 = 7,181.02/x
  3. Step 3: Cross multiply
    7,992.64x = 11,975.10 × 7,181.02
  4. Step 4: Simplify right side
    7,992.64x = 85,993,432.60
  5. Step 5: Solve for x
    x = 85,993,432.60/7,992.64
  6. Step 6: Final answer
    x = 10,759.08

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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.