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Finding the Fourth Proportional to 16,961.64, 23,405.90 and 9,408.30

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Solution

The fourth proportional to 16,961.64, 23,405.90 and 9,408.30 is: 12,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.64 : 23,405.90 = 9,408.30 : x
  2. Step 2: Convert to fraction form
    16,961.64/23,405.90 = 9,408.30/x
  3. Step 3: Cross multiply
    16,961.64x = 23,405.90 × 9,408.30
  4. Step 4: Simplify right side
    16,961.64x = 220,209,728.97
  5. Step 5: Solve for x
    x = 220,209,728.97/16,961.64
  6. Step 6: Final answer
    x = 12,982.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.