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Finding the Fourth Proportional to 12,186.48, 18,274.56 and 5,256

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Solution

The fourth proportional to 12,186.48, 18,274.56 and 5,256 is: 7,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.48 : 18,274.56 = 5,256 : x
  2. Step 2: Convert to fraction form
    12,186.48/18,274.56 = 5,256/x
  3. Step 3: Cross multiply
    12,186.48x = 18,274.56 × 5,256
  4. Step 4: Simplify right side
    12,186.48x = 96,051,087.36
  5. Step 5: Solve for x
    x = 96,051,087.36/12,186.48
  6. Step 6: Final answer
    x = 7,881.77

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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.