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Finding the Fourth Proportional to 12,468.33, 18,706 and 5,078.09

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Solution

The fourth proportional to 12,468.33, 18,706 and 5,078.09 is: 7,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.33 : 18,706 = 5,078.09 : x
  2. Step 2: Convert to fraction form
    12,468.33/18,706 = 5,078.09/x
  3. Step 3: Cross multiply
    12,468.33x = 18,706 × 5,078.09
  4. Step 4: Simplify right side
    12,468.33x = 94,990,751.54
  5. Step 5: Solve for x
    x = 94,990,751.54/12,468.33
  6. Step 6: Final answer
    x = 7,618.56

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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.