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Finding the Fourth Proportional to 31,998.76, 47,994.90 and 8,627.56

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Solution

The fourth proportional to 31,998.76, 47,994.90 and 8,627.56 is: 12,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.76 : 47,994.90 = 8,627.56 : x
  2. Step 2: Convert to fraction form
    31,998.76/47,994.90 = 8,627.56/x
  3. Step 3: Cross multiply
    31,998.76x = 47,994.90 × 8,627.56
  4. Step 4: Simplify right side
    31,998.76x = 414,078,879.44
  5. Step 5: Solve for x
    x = 414,078,879.44/31,998.76
  6. Step 6: Final answer
    x = 12,940.47

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1.5x scale

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.