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Finding the Fourth Proportional to 13,843.84, 20,649.05 and 13,428.82

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Solution

The fourth proportional to 13,843.84, 20,649.05 and 13,428.82 is: 20,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.84 : 20,649.05 = 13,428.82 : x
  2. Step 2: Convert to fraction form
    13,843.84/20,649.05 = 13,428.82/x
  3. Step 3: Cross multiply
    13,843.84x = 20,649.05 × 13,428.82
  4. Step 4: Simplify right side
    13,843.84x = 277,292,375.62
  5. Step 5: Solve for x
    x = 277,292,375.62/13,843.84
  6. Step 6: Final answer
    x = 20,030.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.