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Finding the Fourth Proportional to 13,588.84, 18,789.60 and 11,839.24

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Solution

The fourth proportional to 13,588.84, 18,789.60 and 11,839.24 is: 16,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.84 : 18,789.60 = 11,839.24 : x
  2. Step 2: Convert to fraction form
    13,588.84/18,789.60 = 11,839.24/x
  3. Step 3: Cross multiply
    13,588.84x = 18,789.60 × 11,839.24
  4. Step 4: Simplify right side
    13,588.84x = 222,454,583.90
  5. Step 5: Solve for x
    x = 222,454,583.90/13,588.84
  6. Step 6: Final answer
    x = 16,370.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.