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Finding the Fourth Proportional to 12,221.91, 18,349.11 and 7,841.43

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Solution

The fourth proportional to 12,221.91, 18,349.11 and 7,841.43 is: 11,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.91 : 18,349.11 = 7,841.43 : x
  2. Step 2: Convert to fraction form
    12,221.91/18,349.11 = 7,841.43/x
  3. Step 3: Cross multiply
    12,221.91x = 18,349.11 × 7,841.43
  4. Step 4: Simplify right side
    12,221.91x = 143,883,261.63
  5. Step 5: Solve for x
    x = 143,883,261.63/12,221.91
  6. Step 6: Final answer
    x = 11,772.57

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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.