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Finding the Fourth Proportional to 10,992, 15,168.96 and 6,024

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Solution

The fourth proportional to 10,992, 15,168.96 and 6,024 is: 8,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992 : 15,168.96 = 6,024 : x
  2. Step 2: Convert to fraction form
    10,992/15,168.96 = 6,024/x
  3. Step 3: Cross multiply
    10,992x = 15,168.96 × 6,024
  4. Step 4: Simplify right side
    10,992x = 91,377,815.04
  5. Step 5: Solve for x
    x = 91,377,815.04/10,992
  6. Step 6: Final answer
    x = 8,313.12

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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.