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Finding the Fourth Proportional to 13,913.80, 19,201.83 and 8,251.90

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Solution

The fourth proportional to 13,913.80, 19,201.83 and 8,251.90 is: 11,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.80 : 19,201.83 = 8,251.90 : x
  2. Step 2: Convert to fraction form
    13,913.80/19,201.83 = 8,251.90/x
  3. Step 3: Cross multiply
    13,913.80x = 19,201.83 × 8,251.90
  4. Step 4: Simplify right side
    13,913.80x = 158,451,502.03
  5. Step 5: Solve for x
    x = 158,451,502.03/13,913.80
  6. Step 6: Final answer
    x = 11,388.08

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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.