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Finding the Fourth Proportional to 23,080.31, 34,685.41 and 13,722

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Solution

The fourth proportional to 23,080.31, 34,685.41 and 13,722 is: 20,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.31 : 34,685.41 = 13,722 : x
  2. Step 2: Convert to fraction form
    23,080.31/34,685.41 = 13,722/x
  3. Step 3: Cross multiply
    23,080.31x = 34,685.41 × 13,722
  4. Step 4: Simplify right side
    23,080.31x = 475,953,196.02
  5. Step 5: Solve for x
    x = 475,953,196.02/23,080.31
  6. Step 6: Final answer
    x = 20,621.61

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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.