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Finding the Fourth Proportional to 12,604.08, 18,918.99 and 10,405.80

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Solution

The fourth proportional to 12,604.08, 18,918.99 and 10,405.80 is: 15,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.08 : 18,918.99 = 10,405.80 : x
  2. Step 2: Convert to fraction form
    12,604.08/18,918.99 = 10,405.80/x
  3. Step 3: Cross multiply
    12,604.08x = 18,918.99 × 10,405.80
  4. Step 4: Simplify right side
    12,604.08x = 196,867,226.14
  5. Step 5: Solve for x
    x = 196,867,226.14/12,604.08
  6. Step 6: Final answer
    x = 15,619.33

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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.