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Finding the Fourth Proportional to 13,889.66, 20,834.49 and 8,043.08

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Solution

The fourth proportional to 13,889.66, 20,834.49 and 8,043.08 is: 12,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.66 : 20,834.49 = 8,043.08 : x
  2. Step 2: Convert to fraction form
    13,889.66/20,834.49 = 8,043.08/x
  3. Step 3: Cross multiply
    13,889.66x = 20,834.49 × 8,043.08
  4. Step 4: Simplify right side
    13,889.66x = 167,573,365.66
  5. Step 5: Solve for x
    x = 167,573,365.66/13,889.66
  6. Step 6: Final answer
    x = 12,064.62

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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.