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Finding the Fourth Proportional to 8,586, 12,877.18 and 6,951.83

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Solution

The fourth proportional to 8,586, 12,877.18 and 6,951.83 is: 10,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,877.18 = 6,951.83 : x
  2. Step 2: Convert to fraction form
    8,586/12,877.18 = 6,951.83/x
  3. Step 3: Cross multiply
    8,586x = 12,877.18 × 6,951.83
  4. Step 4: Simplify right side
    8,586x = 89,519,884.47
  5. Step 5: Solve for x
    x = 89,519,884.47/8,586
  6. Step 6: Final answer
    x = 10,426.26

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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.