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Finding the Fourth Proportional to 20,579.65, 30,880.92 and 10,049.82

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Solution

The fourth proportional to 20,579.65, 30,880.92 and 10,049.82 is: 15,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.65 : 30,880.92 = 10,049.82 : x
  2. Step 2: Convert to fraction form
    20,579.65/30,880.92 = 10,049.82/x
  3. Step 3: Cross multiply
    20,579.65x = 30,880.92 × 10,049.82
  4. Step 4: Simplify right side
    20,579.65x = 310,347,687.43
  5. Step 5: Solve for x
    x = 310,347,687.43/20,579.65
  6. Step 6: Final answer
    x = 15,080.32

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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.