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Finding the Fourth Proportional to 13,416.92, 20,122.49 and 8,416.88

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Solution

The fourth proportional to 13,416.92, 20,122.49 and 8,416.88 is: 12,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.92 : 20,122.49 = 8,416.88 : x
  2. Step 2: Convert to fraction form
    13,416.92/20,122.49 = 8,416.88/x
  3. Step 3: Cross multiply
    13,416.92x = 20,122.49 × 8,416.88
  4. Step 4: Simplify right side
    13,416.92x = 169,368,583.63
  5. Step 5: Solve for x
    x = 169,368,583.63/13,416.92
  6. Step 6: Final answer
    x = 12,623.51

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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.