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Finding the Fourth Proportional to 9,992, 13,795.36 and 8,942.24

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Solution

The fourth proportional to 9,992, 13,795.36 and 8,942.24 is: 12,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992 : 13,795.36 = 8,942.24 : x
  2. Step 2: Convert to fraction form
    9,992/13,795.36 = 8,942.24/x
  3. Step 3: Cross multiply
    9,992x = 13,795.36 × 8,942.24
  4. Step 4: Simplify right side
    9,992x = 123,361,420.01
  5. Step 5: Solve for x
    x = 123,361,420.01/9,992
  6. Step 6: Final answer
    x = 12,346.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.