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Finding the Fourth Proportional to 12,198.65, 18,268.72 and 6,259.89

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Solution

The fourth proportional to 12,198.65, 18,268.72 and 6,259.89 is: 9,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.65 : 18,268.72 = 6,259.89 : x
  2. Step 2: Convert to fraction form
    12,198.65/18,268.72 = 6,259.89/x
  3. Step 3: Cross multiply
    12,198.65x = 18,268.72 × 6,259.89
  4. Step 4: Simplify right side
    12,198.65x = 114,360,161.99
  5. Step 5: Solve for x
    x = 114,360,161.99/12,198.65
  6. Step 6: Final answer
    x = 9,374.82

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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.