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Finding the Fourth Proportional to 20,614.24, 30,924.78 and 6,760

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Solution

The fourth proportional to 20,614.24, 30,924.78 and 6,760 is: 10,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.24 : 30,924.78 = 6,760 : x
  2. Step 2: Convert to fraction form
    20,614.24/30,924.78 = 6,760/x
  3. Step 3: Cross multiply
    20,614.24x = 30,924.78 × 6,760
  4. Step 4: Simplify right side
    20,614.24x = 209,051,512.80
  5. Step 5: Solve for x
    x = 209,051,512.80/20,614.24
  6. Step 6: Final answer
    x = 10,141.12

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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.