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Finding the Fourth Proportional to 10,831, 16,239.47 and 7,121.96

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Solution

The fourth proportional to 10,831, 16,239.47 and 7,121.96 is: 10,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831 : 16,239.47 = 7,121.96 : x
  2. Step 2: Convert to fraction form
    10,831/16,239.47 = 7,121.96/x
  3. Step 3: Cross multiply
    10,831x = 16,239.47 × 7,121.96
  4. Step 4: Simplify right side
    10,831x = 115,656,855.76
  5. Step 5: Solve for x
    x = 115,656,855.76/10,831
  6. Step 6: Final answer
    x = 10,678.32

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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.