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Finding the Fourth Proportional to 13,443, 20,161.22 and 4,209

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Solution

The fourth proportional to 13,443, 20,161.22 and 4,209 is: 6,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443 : 20,161.22 = 4,209 : x
  2. Step 2: Convert to fraction form
    13,443/20,161.22 = 4,209/x
  3. Step 3: Cross multiply
    13,443x = 20,161.22 × 4,209
  4. Step 4: Simplify right side
    13,443x = 84,858,574.98
  5. Step 5: Solve for x
    x = 84,858,574.98/13,443
  6. Step 6: Final answer
    x = 6,312.47

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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.