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Finding the Fourth Proportional to 12,069.25, 18,103.88 and 6,864.19

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Solution

The fourth proportional to 12,069.25, 18,103.88 and 6,864.19 is: 10,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.25 : 18,103.88 = 6,864.19 : x
  2. Step 2: Convert to fraction form
    12,069.25/18,103.88 = 6,864.19/x
  3. Step 3: Cross multiply
    12,069.25x = 18,103.88 × 6,864.19
  4. Step 4: Simplify right side
    12,069.25x = 124,268,443.96
  5. Step 5: Solve for x
    x = 124,268,443.96/12,069.25
  6. Step 6: Final answer
    x = 10,296.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.