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Finding the Fourth Proportional to 20,415, 30,622.68 and 8,103

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Solution

The fourth proportional to 20,415, 30,622.68 and 8,103 is: 12,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 30,622.68 = 8,103 : x
  2. Step 2: Convert to fraction form
    20,415/30,622.68 = 8,103/x
  3. Step 3: Cross multiply
    20,415x = 30,622.68 × 8,103
  4. Step 4: Simplify right side
    20,415x = 248,135,576.04
  5. Step 5: Solve for x
    x = 248,135,576.04/20,415
  6. Step 6: Final answer
    x = 12,154.57

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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.