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Finding the Fourth Proportional to 10,831, 14,946.78 and 5,863

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Solution

The fourth proportional to 10,831, 14,946.78 and 5,863 is: 8,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831 : 14,946.78 = 5,863 : x
  2. Step 2: Convert to fraction form
    10,831/14,946.78 = 5,863/x
  3. Step 3: Cross multiply
    10,831x = 14,946.78 × 5,863
  4. Step 4: Simplify right side
    10,831x = 87,632,971.14
  5. Step 5: Solve for x
    x = 87,632,971.14/10,831
  6. Step 6: Final answer
    x = 8,090.94

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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.