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Finding the Fourth Proportional to 12,429, 18,650.44 and 9,661.22

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Solution

The fourth proportional to 12,429, 18,650.44 and 9,661.22 is: 14,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 18,650.44 = 9,661.22 : x
  2. Step 2: Convert to fraction form
    12,429/18,650.44 = 9,661.22/x
  3. Step 3: Cross multiply
    12,429x = 18,650.44 × 9,661.22
  4. Step 4: Simplify right side
    12,429x = 180,186,003.94
  5. Step 5: Solve for x
    x = 180,186,003.94/12,429
  6. Step 6: Final answer
    x = 14,497.22

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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.