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Finding the Fourth Proportional to 13,897.62, 20,850.33 and 5,583.48

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Solution

The fourth proportional to 13,897.62, 20,850.33 and 5,583.48 is: 8,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.62 : 20,850.33 = 5,583.48 : x
  2. Step 2: Convert to fraction form
    13,897.62/20,850.33 = 5,583.48/x
  3. Step 3: Cross multiply
    13,897.62x = 20,850.33 × 5,583.48
  4. Step 4: Simplify right side
    13,897.62x = 116,417,322.36
  5. Step 5: Solve for x
    x = 116,417,322.36/13,897.62
  6. Step 6: Final answer
    x = 8,376.78

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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.