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Finding the Fourth Proportional to 20,519, 30,783.34 and 6,668.04

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Solution

The fourth proportional to 20,519, 30,783.34 and 6,668.04 is: 10,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519 : 30,783.34 = 6,668.04 : x
  2. Step 2: Convert to fraction form
    20,519/30,783.34 = 6,668.04/x
  3. Step 3: Cross multiply
    20,519x = 30,783.34 × 6,668.04
  4. Step 4: Simplify right side
    20,519x = 205,264,542.45
  5. Step 5: Solve for x
    x = 205,264,542.45/20,519
  6. Step 6: Final answer
    x = 10,003.63

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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.