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Finding the Fourth Proportional to 11,151.78, 16,705.80 and 9,511.80

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Solution

The fourth proportional to 11,151.78, 16,705.80 and 9,511.80 is: 14,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.78 : 16,705.80 = 9,511.80 : x
  2. Step 2: Convert to fraction form
    11,151.78/16,705.80 = 9,511.80/x
  3. Step 3: Cross multiply
    11,151.78x = 16,705.80 × 9,511.80
  4. Step 4: Simplify right side
    11,151.78x = 158,902,228.44
  5. Step 5: Solve for x
    x = 158,902,228.44/11,151.78
  6. Step 6: Final answer
    x = 14,249.05

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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.