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Finding the Fourth Proportional to 20,540, 30,810.02 and 8,065.90

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Solution

The fourth proportional to 20,540, 30,810.02 and 8,065.90 is: 12,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 30,810.02 = 8,065.90 : x
  2. Step 2: Convert to fraction form
    20,540/30,810.02 = 8,065.90/x
  3. Step 3: Cross multiply
    20,540x = 30,810.02 × 8,065.90
  4. Step 4: Simplify right side
    20,540x = 248,510,540.32
  5. Step 5: Solve for x
    x = 248,510,540.32/20,540
  6. Step 6: Final answer
    x = 12,098.86

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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.