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Finding the Fourth Proportional to 13,894.61, 20,839.38 and 3,763.18

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Solution

The fourth proportional to 13,894.61, 20,839.38 and 3,763.18 is: 5,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.61 : 20,839.38 = 3,763.18 : x
  2. Step 2: Convert to fraction form
    13,894.61/20,839.38 = 3,763.18/x
  3. Step 3: Cross multiply
    13,894.61x = 20,839.38 × 3,763.18
  4. Step 4: Simplify right side
    13,894.61x = 78,422,408.58
  5. Step 5: Solve for x
    x = 78,422,408.58/13,894.61
  6. Step 6: Final answer
    x = 5,644.09

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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.