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Finding the Fourth Proportional to 20,049.12, 30,029.94 and 9,639

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Solution

The fourth proportional to 20,049.12, 30,029.94 and 9,639 is: 14,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.12 : 30,029.94 = 9,639 : x
  2. Step 2: Convert to fraction form
    20,049.12/30,029.94 = 9,639/x
  3. Step 3: Cross multiply
    20,049.12x = 30,029.94 × 9,639
  4. Step 4: Simplify right side
    20,049.12x = 289,458,591.66
  5. Step 5: Solve for x
    x = 289,458,591.66/20,049.12
  6. Step 6: Final answer
    x = 14,437.47

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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.