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Finding the Fourth Proportional to 13,710.82, 18,921.28 and 8,408.56

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Solution

The fourth proportional to 13,710.82, 18,921.28 and 8,408.56 is: 11,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.82 : 18,921.28 = 8,408.56 : x
  2. Step 2: Convert to fraction form
    13,710.82/18,921.28 = 8,408.56/x
  3. Step 3: Cross multiply
    13,710.82x = 18,921.28 × 8,408.56
  4. Step 4: Simplify right side
    13,710.82x = 159,100,649.83
  5. Step 5: Solve for x
    x = 159,100,649.83/13,710.82
  6. Step 6: Final answer
    x = 11,604.02

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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.