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Finding the Fourth Proportional to 20,001, 30,002.98 and 7,689

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Solution

The fourth proportional to 20,001, 30,002.98 and 7,689 is: 11,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001 : 30,002.98 = 7,689 : x
  2. Step 2: Convert to fraction form
    20,001/30,002.98 = 7,689/x
  3. Step 3: Cross multiply
    20,001x = 30,002.98 × 7,689
  4. Step 4: Simplify right side
    20,001x = 230,692,913.22
  5. Step 5: Solve for x
    x = 230,692,913.22/20,001
  6. Step 6: Final answer
    x = 11,534.07

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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.