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Finding the Fourth Proportional to 12,661.72, 18,991.14 and 3,427

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Solution

The fourth proportional to 12,661.72, 18,991.14 and 3,427 is: 5,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.72 : 18,991.14 = 3,427 : x
  2. Step 2: Convert to fraction form
    12,661.72/18,991.14 = 3,427/x
  3. Step 3: Cross multiply
    12,661.72x = 18,991.14 × 3,427
  4. Step 4: Simplify right side
    12,661.72x = 65,082,636.78
  5. Step 5: Solve for x
    x = 65,082,636.78/12,661.72
  6. Step 6: Final answer
    x = 5,140.11

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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.