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Finding the Fourth Proportional to 12,480.86, 18,677.82 and 7,734.80

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Solution

The fourth proportional to 12,480.86, 18,677.82 and 7,734.80 is: 11,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.86 : 18,677.82 = 7,734.80 : x
  2. Step 2: Convert to fraction form
    12,480.86/18,677.82 = 7,734.80/x
  3. Step 3: Cross multiply
    12,480.86x = 18,677.82 × 7,734.80
  4. Step 4: Simplify right side
    12,480.86x = 144,469,202.14
  5. Step 5: Solve for x
    x = 144,469,202.14/12,480.86
  6. Step 6: Final answer
    x = 11,575.26

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1.5x scale

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.