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Finding the Fourth Proportional to 20,538, 30,807.01 and 8,063.90

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Solution

The fourth proportional to 20,538, 30,807.01 and 8,063.90 is: 12,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 30,807.01 = 8,063.90 : x
  2. Step 2: Convert to fraction form
    20,538/30,807.01 = 8,063.90/x
  3. Step 3: Cross multiply
    20,538x = 30,807.01 × 8,063.90
  4. Step 4: Simplify right side
    20,538x = 248,424,647.94
  5. Step 5: Solve for x
    x = 248,424,647.94/20,538
  6. Step 6: Final answer
    x = 12,095.85

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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.