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Finding the Fourth Proportional to 12,287.38, 18,429.25 and 6,045.72

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Solution

The fourth proportional to 12,287.38, 18,429.25 and 6,045.72 is: 9,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.38 : 18,429.25 = 6,045.72 : x
  2. Step 2: Convert to fraction form
    12,287.38/18,429.25 = 6,045.72/x
  3. Step 3: Cross multiply
    12,287.38x = 18,429.25 × 6,045.72
  4. Step 4: Simplify right side
    12,287.38x = 111,418,085.31
  5. Step 5: Solve for x
    x = 111,418,085.31/12,287.38
  6. Step 6: Final answer
    x = 9,067.68

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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.