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Finding the Fourth Proportional to 12,296.70, 18,408.60 and 8,141.40

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Solution

The fourth proportional to 12,296.70, 18,408.60 and 8,141.40 is: 12,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.70 : 18,408.60 = 8,141.40 : x
  2. Step 2: Convert to fraction form
    12,296.70/18,408.60 = 8,141.40/x
  3. Step 3: Cross multiply
    12,296.70x = 18,408.60 × 8,141.40
  4. Step 4: Simplify right side
    12,296.70x = 149,871,776.04
  5. Step 5: Solve for x
    x = 149,871,776.04/12,296.70
  6. Step 6: Final answer
    x = 12,187.97

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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.