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Finding the Fourth Proportional to 8,491.88, 12,730.80 and 3,225.80

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Solution

The fourth proportional to 8,491.88, 12,730.80 and 3,225.80 is: 4,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.88 : 12,730.80 = 3,225.80 : x
  2. Step 2: Convert to fraction form
    8,491.88/12,730.80 = 3,225.80/x
  3. Step 3: Cross multiply
    8,491.88x = 12,730.80 × 3,225.80
  4. Step 4: Simplify right side
    8,491.88x = 41,067,014.64
  5. Step 5: Solve for x
    x = 41,067,014.64/8,491.88
  6. Step 6: Final answer
    x = 4,836.03

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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.