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Finding the Fourth Proportional to 12,268.65, 18,369.97 and 6,412.96

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Solution

The fourth proportional to 12,268.65, 18,369.97 and 6,412.96 is: 9,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.65 : 18,369.97 = 6,412.96 : x
  2. Step 2: Convert to fraction form
    12,268.65/18,369.97 = 6,412.96/x
  3. Step 3: Cross multiply
    12,268.65x = 18,369.97 × 6,412.96
  4. Step 4: Simplify right side
    12,268.65x = 117,805,882.81
  5. Step 5: Solve for x
    x = 117,805,882.81/12,268.65
  6. Step 6: Final answer
    x = 9,602.19

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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.