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Finding the Fourth Proportional to 13,623.76, 20,408.10 and 12,489.76

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Solution

The fourth proportional to 13,623.76, 20,408.10 and 12,489.76 is: 18,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.76 : 20,408.10 = 12,489.76 : x
  2. Step 2: Convert to fraction form
    13,623.76/20,408.10 = 12,489.76/x
  3. Step 3: Cross multiply
    13,623.76x = 20,408.10 × 12,489.76
  4. Step 4: Simplify right side
    13,623.76x = 254,892,271.06
  5. Step 5: Solve for x
    x = 254,892,271.06/13,623.76
  6. Step 6: Final answer
    x = 18,709.39

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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.