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Finding the Fourth Proportional to 20,668.34, 30,983.76 and 7,511.42

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Solution

The fourth proportional to 20,668.34, 30,983.76 and 7,511.42 is: 11,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.34 : 30,983.76 = 7,511.42 : x
  2. Step 2: Convert to fraction form
    20,668.34/30,983.76 = 7,511.42/x
  3. Step 3: Cross multiply
    20,668.34x = 30,983.76 × 7,511.42
  4. Step 4: Simplify right side
    20,668.34x = 232,732,034.54
  5. Step 5: Solve for x
    x = 232,732,034.54/20,668.34
  6. Step 6: Final answer
    x = 11,260.32

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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.