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Finding the Fourth Proportional to 12,186.82, 16,816 and 6,881.53

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Solution

The fourth proportional to 12,186.82, 16,816 and 6,881.53 is: 9,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.82 : 16,816 = 6,881.53 : x
  2. Step 2: Convert to fraction form
    12,186.82/16,816 = 6,881.53/x
  3. Step 3: Cross multiply
    12,186.82x = 16,816 × 6,881.53
  4. Step 4: Simplify right side
    12,186.82x = 115,719,808.48
  5. Step 5: Solve for x
    x = 115,719,808.48/12,186.82
  6. Step 6: Final answer
    x = 9,495.49

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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.