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Finding the Fourth Proportional to 12,301.60, 18,426.40 and 8,143.60

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Solution

The fourth proportional to 12,301.60, 18,426.40 and 8,143.60 is: 12,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.60 : 18,426.40 = 8,143.60 : x
  2. Step 2: Convert to fraction form
    12,301.60/18,426.40 = 8,143.60/x
  3. Step 3: Cross multiply
    12,301.60x = 18,426.40 × 8,143.60
  4. Step 4: Simplify right side
    12,301.60x = 150,057,231.04
  5. Step 5: Solve for x
    x = 150,057,231.04/12,301.60
  6. Step 6: Final answer
    x = 12,198.19

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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.