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Finding the Fourth Proportional to 11,234.10, 16,851.15 and 7,078.80

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Solution

The fourth proportional to 11,234.10, 16,851.15 and 7,078.80 is: 10,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.10 : 16,851.15 = 7,078.80 : x
  2. Step 2: Convert to fraction form
    11,234.10/16,851.15 = 7,078.80/x
  3. Step 3: Cross multiply
    11,234.10x = 16,851.15 × 7,078.80
  4. Step 4: Simplify right side
    11,234.10x = 119,285,920.62
  5. Step 5: Solve for x
    x = 119,285,920.62/11,234.10
  6. Step 6: Final answer
    x = 10,618.20

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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.