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Finding the Fourth Proportional to 20,668, 31,002.02 and 6,817

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Solution

The fourth proportional to 20,668, 31,002.02 and 6,817 is: 10,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668 : 31,002.02 = 6,817 : x
  2. Step 2: Convert to fraction form
    20,668/31,002.02 = 6,817/x
  3. Step 3: Cross multiply
    20,668x = 31,002.02 × 6,817
  4. Step 4: Simplify right side
    20,668x = 211,340,770.34
  5. Step 5: Solve for x
    x = 211,340,770.34/20,668
  6. Step 6: Final answer
    x = 10,225.51

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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.