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Finding the Fourth Proportional to 13,865.68, 20,805 and 8,027.20

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Solution

The fourth proportional to 13,865.68, 20,805 and 8,027.20 is: 12,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.68 : 20,805 = 8,027.20 : x
  2. Step 2: Convert to fraction form
    13,865.68/20,805 = 8,027.20/x
  3. Step 3: Cross multiply
    13,865.68x = 20,805 × 8,027.20
  4. Step 4: Simplify right side
    13,865.68x = 167,005,896
  5. Step 5: Solve for x
    x = 167,005,896/13,865.68
  6. Step 6: Final answer
    x = 12,044.55

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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.