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Finding the Fourth Proportional to 10,992, 15,163.02 and 7,006.80

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Solution

The fourth proportional to 10,992, 15,163.02 and 7,006.80 is: 9,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992 : 15,163.02 = 7,006.80 : x
  2. Step 2: Convert to fraction form
    10,992/15,163.02 = 7,006.80/x
  3. Step 3: Cross multiply
    10,992x = 15,163.02 × 7,006.80
  4. Step 4: Simplify right side
    10,992x = 106,244,248.54
  5. Step 5: Solve for x
    x = 106,244,248.54/10,992
  6. Step 6: Final answer
    x = 9,665.60

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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.