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Finding the Fourth Proportional to 12,181.78, 18,249.12 and 7,487.98

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Solution

The fourth proportional to 12,181.78, 18,249.12 and 7,487.98 is: 11,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.78 : 18,249.12 = 7,487.98 : x
  2. Step 2: Convert to fraction form
    12,181.78/18,249.12 = 7,487.98/x
  3. Step 3: Cross multiply
    12,181.78x = 18,249.12 × 7,487.98
  4. Step 4: Simplify right side
    12,181.78x = 136,649,045.58
  5. Step 5: Solve for x
    x = 136,649,045.58/12,181.78
  6. Step 6: Final answer
    x = 11,217.49

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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.