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Finding the Fourth Proportional to 7,992, 11,988 and 3,376.08

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Solution

The fourth proportional to 7,992, 11,988 and 3,376.08 is: 5,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992 : 11,988 = 3,376.08 : x
  2. Step 2: Convert to fraction form
    7,992/11,988 = 3,376.08/x
  3. Step 3: Cross multiply
    7,992x = 11,988 × 3,376.08
  4. Step 4: Simplify right side
    7,992x = 40,472,447.04
  5. Step 5: Solve for x
    x = 40,472,447.04/7,992
  6. Step 6: Final answer
    x = 5,064.12

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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.