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Finding the Fourth Proportional to 8,186, 11,296.71 and 4,460

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Solution

The fourth proportional to 8,186, 11,296.71 and 4,460 is: 6,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186 : 11,296.71 = 4,460 : x
  2. Step 2: Convert to fraction form
    8,186/11,296.71 = 4,460/x
  3. Step 3: Cross multiply
    8,186x = 11,296.71 × 4,460
  4. Step 4: Simplify right side
    8,186x = 50,383,326.60
  5. Step 5: Solve for x
    x = 50,383,326.60/8,186
  6. Step 6: Final answer
    x = 6,154.82

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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.