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Finding the Fourth Proportional to 7,992.53, 11,992.85 and 5,390

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Solution

The fourth proportional to 7,992.53, 11,992.85 and 5,390 is: 8,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.53 : 11,992.85 = 5,390 : x
  2. Step 2: Convert to fraction form
    7,992.53/11,992.85 = 5,390/x
  3. Step 3: Cross multiply
    7,992.53x = 11,992.85 × 5,390
  4. Step 4: Simplify right side
    7,992.53x = 64,641,461.50
  5. Step 5: Solve for x
    x = 64,641,461.50/7,992.53
  6. Step 6: Final answer
    x = 8,087.73

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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.