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Finding the Fourth Proportional to 7,999, 11,999.49 and 2,734.54

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Solution

The fourth proportional to 7,999, 11,999.49 and 2,734.54 is: 4,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999 : 11,999.49 = 2,734.54 : x
  2. Step 2: Convert to fraction form
    7,999/11,999.49 = 2,734.54/x
  3. Step 3: Cross multiply
    7,999x = 11,999.49 × 2,734.54
  4. Step 4: Simplify right side
    7,999x = 32,813,085.38
  5. Step 5: Solve for x
    x = 32,813,085.38/7,999
  6. Step 6: Final answer
    x = 4,102.15

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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.