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Finding the Fourth Proportional to 31,481.68, 47,229.72 and 10,705.36

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Solution

The fourth proportional to 31,481.68, 47,229.72 and 10,705.36 is: 16,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.68 : 47,229.72 = 10,705.36 : x
  2. Step 2: Convert to fraction form
    31,481.68/47,229.72 = 10,705.36/x
  3. Step 3: Cross multiply
    31,481.68x = 47,229.72 × 10,705.36
  4. Step 4: Simplify right side
    31,481.68x = 505,611,155.30
  5. Step 5: Solve for x
    x = 505,611,155.30/31,481.68
  6. Step 6: Final answer
    x = 16,060.49

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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.