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Finding the Fourth Proportional to 12,296.40, 18,401.40 and 8,408.40

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Solution

The fourth proportional to 12,296.40, 18,401.40 and 8,408.40 is: 12,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.40 : 18,401.40 = 8,408.40 : x
  2. Step 2: Convert to fraction form
    12,296.40/18,401.40 = 8,408.40/x
  3. Step 3: Cross multiply
    12,296.40x = 18,401.40 × 8,408.40
  4. Step 4: Simplify right side
    12,296.40x = 154,726,331.76
  5. Step 5: Solve for x
    x = 154,726,331.76/12,296.40
  6. Step 6: Final answer
    x = 12,583.06

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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.