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Finding the Fourth Proportional to 8,460.98, 12,696.25 and 3,199.56

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Solution

The fourth proportional to 8,460.98, 12,696.25 and 3,199.56 is: 4,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.98 : 12,696.25 = 3,199.56 : x
  2. Step 2: Convert to fraction form
    8,460.98/12,696.25 = 3,199.56/x
  3. Step 3: Cross multiply
    8,460.98x = 12,696.25 × 3,199.56
  4. Step 4: Simplify right side
    8,460.98x = 40,622,405.65
  5. Step 5: Solve for x
    x = 40,622,405.65/8,460.98
  6. Step 6: Final answer
    x = 4,801.15

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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.