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Finding the Fourth Proportional to 8,685, 11,986.11 and 4,959

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Solution

The fourth proportional to 8,685, 11,986.11 and 4,959 is: 6,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 11,986.11 = 4,959 : x
  2. Step 2: Convert to fraction form
    8,685/11,986.11 = 4,959/x
  3. Step 3: Cross multiply
    8,685x = 11,986.11 × 4,959
  4. Step 4: Simplify right side
    8,685x = 59,439,119.49
  5. Step 5: Solve for x
    x = 59,439,119.49/8,685
  6. Step 6: Final answer
    x = 6,843.88

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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.