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Finding the Fourth Proportional to 12,399, 18,601.54 and 5,817.54

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Solution

The fourth proportional to 12,399, 18,601.54 and 5,817.54 is: 8,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399 : 18,601.54 = 5,817.54 : x
  2. Step 2: Convert to fraction form
    12,399/18,601.54 = 5,817.54/x
  3. Step 3: Cross multiply
    12,399x = 18,601.54 × 5,817.54
  4. Step 4: Simplify right side
    12,399x = 108,215,203.01
  5. Step 5: Solve for x
    x = 108,215,203.01/12,399
  6. Step 6: Final answer
    x = 8,727.74

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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.