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Finding the Fourth Proportional to 12,208.85, 16,842.12 and 8,223.04

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Solution

The fourth proportional to 12,208.85, 16,842.12 and 8,223.04 is: 11,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.85 : 16,842.12 = 8,223.04 : x
  2. Step 2: Convert to fraction form
    12,208.85/16,842.12 = 8,223.04/x
  3. Step 3: Cross multiply
    12,208.85x = 16,842.12 × 8,223.04
  4. Step 4: Simplify right side
    12,208.85x = 138,493,426.44
  5. Step 5: Solve for x
    x = 138,493,426.44/12,208.85
  6. Step 6: Final answer
    x = 11,343.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.