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Finding the Fourth Proportional to 12,084, 18,126 and 4,293.12

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Solution

The fourth proportional to 12,084, 18,126 and 4,293.12 is: 6,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 18,126 = 4,293.12 : x
  2. Step 2: Convert to fraction form
    12,084/18,126 = 4,293.12/x
  3. Step 3: Cross multiply
    12,084x = 18,126 × 4,293.12
  4. Step 4: Simplify right side
    12,084x = 77,817,093.12
  5. Step 5: Solve for x
    x = 77,817,093.12/12,084
  6. Step 6: Final answer
    x = 6,439.68

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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.