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Finding the Fourth Proportional to 20,400.72, 30,604.28 and 8,714

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Solution

The fourth proportional to 20,400.72, 30,604.28 and 8,714 is: 13,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.72 : 30,604.28 = 8,714 : x
  2. Step 2: Convert to fraction form
    20,400.72/30,604.28 = 8,714/x
  3. Step 3: Cross multiply
    20,400.72x = 30,604.28 × 8,714
  4. Step 4: Simplify right side
    20,400.72x = 266,685,695.92
  5. Step 5: Solve for x
    x = 266,685,695.92/20,400.72
  6. Step 6: Final answer
    x = 13,072.37

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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.