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Finding the Fourth Proportional to 11,212.99, 15,474 and 6,433.14

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Solution

The fourth proportional to 11,212.99, 15,474 and 6,433.14 is: 8,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.99 : 15,474 = 6,433.14 : x
  2. Step 2: Convert to fraction form
    11,212.99/15,474 = 6,433.14/x
  3. Step 3: Cross multiply
    11,212.99x = 15,474 × 6,433.14
  4. Step 4: Simplify right side
    11,212.99x = 99,546,408.36
  5. Step 5: Solve for x
    x = 99,546,408.36/11,212.99
  6. Step 6: Final answer
    x = 8,877.78

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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.