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Finding the Fourth Proportional to 13,819.23, 20,712.65 and 9,367.47

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Solution

The fourth proportional to 13,819.23, 20,712.65 and 9,367.47 is: 14,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.23 : 20,712.65 = 9,367.47 : x
  2. Step 2: Convert to fraction form
    13,819.23/20,712.65 = 9,367.47/x
  3. Step 3: Cross multiply
    13,819.23x = 20,712.65 × 9,367.47
  4. Step 4: Simplify right side
    13,819.23x = 194,025,080.66
  5. Step 5: Solve for x
    x = 194,025,080.66/13,819.23
  6. Step 6: Final answer
    x = 14,040.22

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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.