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Finding the Fourth Proportional to 7,992, 11,992.32 and 3,888

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Solution

The fourth proportional to 7,992, 11,992.32 and 3,888 is: 5,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992 : 11,992.32 = 3,888 : x
  2. Step 2: Convert to fraction form
    7,992/11,992.32 = 3,888/x
  3. Step 3: Cross multiply
    7,992x = 11,992.32 × 3,888
  4. Step 4: Simplify right side
    7,992x = 46,626,140.16
  5. Step 5: Solve for x
    x = 46,626,140.16/7,992
  6. Step 6: Final answer
    x = 5,834.10

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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.