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Finding the Fourth Proportional to 20,452, 30,678 and 8,148.64

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Solution

The fourth proportional to 20,452, 30,678 and 8,148.64 is: 12,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 30,678 = 8,148.64 : x
  2. Step 2: Convert to fraction form
    20,452/30,678 = 8,148.64/x
  3. Step 3: Cross multiply
    20,452x = 30,678 × 8,148.64
  4. Step 4: Simplify right side
    20,452x = 249,983,977.92
  5. Step 5: Solve for x
    x = 249,983,977.92/20,452
  6. Step 6: Final answer
    x = 12,222.96

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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.