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Finding the Fourth Proportional to 8,586, 12,876.98 and 7,200.09

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Solution

The fourth proportional to 8,586, 12,876.98 and 7,200.09 is: 10,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,876.98 = 7,200.09 : x
  2. Step 2: Convert to fraction form
    8,586/12,876.98 = 7,200.09/x
  3. Step 3: Cross multiply
    8,586x = 12,876.98 × 7,200.09
  4. Step 4: Simplify right side
    8,586x = 92,715,378.93
  5. Step 5: Solve for x
    x = 92,715,378.93/8,586
  6. Step 6: Final answer
    x = 10,798.44

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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.