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Finding the Fourth Proportional to 31,172.44, 46,747.68 and 8,979.88

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Solution

The fourth proportional to 31,172.44, 46,747.68 and 8,979.88 is: 13,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.44 : 46,747.68 = 8,979.88 : x
  2. Step 2: Convert to fraction form
    31,172.44/46,747.68 = 8,979.88/x
  3. Step 3: Cross multiply
    31,172.44x = 46,747.68 × 8,979.88
  4. Step 4: Simplify right side
    31,172.44x = 419,788,556.68
  5. Step 5: Solve for x
    x = 419,788,556.68/31,172.44
  6. Step 6: Final answer
    x = 13,466.66

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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.