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Finding the Fourth Proportional to 31,806, 47,714.22 and 13,080.96

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Solution

The fourth proportional to 31,806, 47,714.22 and 13,080.96 is: 19,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806 : 47,714.22 = 13,080.96 : x
  2. Step 2: Convert to fraction form
    31,806/47,714.22 = 13,080.96/x
  3. Step 3: Cross multiply
    31,806x = 47,714.22 × 13,080.96
  4. Step 4: Simplify right side
    31,806x = 624,147,803.25
  5. Step 5: Solve for x
    x = 624,147,803.25/31,806
  6. Step 6: Final answer
    x = 19,623.59

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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.