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Finding the Fourth Proportional to 12,662.13, 18,993.20 and 3,428.13

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Solution

The fourth proportional to 12,662.13, 18,993.20 and 3,428.13 is: 5,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.13 : 18,993.20 = 3,428.13 : x
  2. Step 2: Convert to fraction form
    12,662.13/18,993.20 = 3,428.13/x
  3. Step 3: Cross multiply
    12,662.13x = 18,993.20 × 3,428.13
  4. Step 4: Simplify right side
    12,662.13x = 65,111,158.72
  5. Step 5: Solve for x
    x = 65,111,158.72/12,662.13
  6. Step 6: Final answer
    x = 5,142.20

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1.5x scale

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.