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Finding the Fourth Proportional to 11,223.80, 16,821.02 and 8,114.22

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Solution

The fourth proportional to 11,223.80, 16,821.02 and 8,114.22 is: 12,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.80 : 16,821.02 = 8,114.22 : x
  2. Step 2: Convert to fraction form
    11,223.80/16,821.02 = 8,114.22/x
  3. Step 3: Cross multiply
    11,223.80x = 16,821.02 × 8,114.22
  4. Step 4: Simplify right side
    11,223.80x = 136,489,456.90
  5. Step 5: Solve for x
    x = 136,489,456.90/11,223.80
  6. Step 6: Final answer
    x = 12,160.72

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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.