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Finding the Fourth Proportional to 12,864.56, 17,771.28 and 11,912

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Solution

The fourth proportional to 12,864.56, 17,771.28 and 11,912 is: 16,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.56 : 17,771.28 = 11,912 : x
  2. Step 2: Convert to fraction form
    12,864.56/17,771.28 = 11,912/x
  3. Step 3: Cross multiply
    12,864.56x = 17,771.28 × 11,912
  4. Step 4: Simplify right side
    12,864.56x = 211,691,487.36
  5. Step 5: Solve for x
    x = 211,691,487.36/12,864.56
  6. Step 6: Final answer
    x = 16,455.40

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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.