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Finding the Fourth Proportional to 20,564, 30,851.44 and 11,802

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Solution

The fourth proportional to 20,564, 30,851.44 and 11,802 is: 17,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 30,851.44 = 11,802 : x
  2. Step 2: Convert to fraction form
    20,564/30,851.44 = 11,802/x
  3. Step 3: Cross multiply
    20,564x = 30,851.44 × 11,802
  4. Step 4: Simplify right side
    20,564x = 364,108,694.88
  5. Step 5: Solve for x
    x = 364,108,694.88/20,564
  6. Step 6: Final answer
    x = 17,706.12

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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.