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Finding the Fourth Proportional to 16,405.16, 22,638.44 and 9,692.96

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Solution

The fourth proportional to 16,405.16, 22,638.44 and 9,692.96 is: 13,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.16 : 22,638.44 = 9,692.96 : x
  2. Step 2: Convert to fraction form
    16,405.16/22,638.44 = 9,692.96/x
  3. Step 3: Cross multiply
    16,405.16x = 22,638.44 × 9,692.96
  4. Step 4: Simplify right side
    16,405.16x = 219,433,493.38
  5. Step 5: Solve for x
    x = 219,433,493.38/16,405.16
  6. Step 6: Final answer
    x = 13,375.88

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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.