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Finding the Fourth Proportional to 12,175.78, 18,228.07 and 11,008.47

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Solution

The fourth proportional to 12,175.78, 18,228.07 and 11,008.47 is: 16,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.78 : 18,228.07 = 11,008.47 : x
  2. Step 2: Convert to fraction form
    12,175.78/18,228.07 = 11,008.47/x
  3. Step 3: Cross multiply
    12,175.78x = 18,228.07 × 11,008.47
  4. Step 4: Simplify right side
    12,175.78x = 200,663,161.75
  5. Step 5: Solve for x
    x = 200,663,161.75/12,175.78
  6. Step 6: Final answer
    x = 16,480.52

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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.