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Finding the Fourth Proportional to 13,917.80, 20,897.53 and 12,049.47

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Solution

The fourth proportional to 13,917.80, 20,897.53 and 12,049.47 is: 18,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.80 : 20,897.53 = 12,049.47 : x
  2. Step 2: Convert to fraction form
    13,917.80/20,897.53 = 12,049.47/x
  3. Step 3: Cross multiply
    13,917.80x = 20,897.53 × 12,049.47
  4. Step 4: Simplify right side
    13,917.80x = 251,804,130.69
  5. Step 5: Solve for x
    x = 251,804,130.69/13,917.80
  6. Step 6: Final answer
    x = 18,092.23

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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.