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Finding the Fourth Proportional to 12,406.23, 18,612 and 6,169.59

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Solution

The fourth proportional to 12,406.23, 18,612 and 6,169.59 is: 9,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.23 : 18,612 = 6,169.59 : x
  2. Step 2: Convert to fraction form
    12,406.23/18,612 = 6,169.59/x
  3. Step 3: Cross multiply
    12,406.23x = 18,612 × 6,169.59
  4. Step 4: Simplify right side
    12,406.23x = 114,828,409.08
  5. Step 5: Solve for x
    x = 114,828,409.08/12,406.23
  6. Step 6: Final answer
    x = 9,255.71

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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.