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Finding the Fourth Proportional to 12,441.69, 18,644.27 and 9,815.49

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Solution

The fourth proportional to 12,441.69, 18,644.27 and 9,815.49 is: 14,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.69 : 18,644.27 = 9,815.49 : x
  2. Step 2: Convert to fraction form
    12,441.69/18,644.27 = 9,815.49/x
  3. Step 3: Cross multiply
    12,441.69x = 18,644.27 × 9,815.49
  4. Step 4: Simplify right side
    12,441.69x = 183,002,596.66
  5. Step 5: Solve for x
    x = 183,002,596.66/12,441.69
  6. Step 6: Final answer
    x = 14,708.82

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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.